Edit Profile (opens in new tab) Berndt, Bruce Carl Co-Author Distance Author ID: berndt.bruce-c Published as: Berndt, Bruce C.; Berndt, B. C.; Berndt, Bruce more...less Homepage: https://faculty.math.illinois.edu/~berndt/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 275 Publications since 1967, including 18 Books and 4 Additional arXiv Preprints 21 Contributions as Editor · 1 Further Contribution Co-Authors: 107 Co-Authors with 198 Joint Publications 2,195 Co-Co-Authors all top 5 Co-Authors 92 single-authored 39 Zaharescu, Alexandru 23 Chan, Heng Huat 19 Yee, Ae Ja 16 Evans, Ronald J. 13 Andrews, George Eyre 12 Dixit, Atul 11 Zhang, Liangcheng 9 Sohn, Jaebum 8 Diamond, Harold George 7 Baruah, Nayandeep Deka 7 Chan, Song Heng 7 Hildebrand, Adolf J. 7 Wilson, Bertram Martin 5 Gupta, Rajat 5 Rankin, Robert Alexander 4 Bennett, Michael A. 4 Boston, Nigel 4 Kang, Soon-Yi 4 Liaw, Wen-Chin 4 Ono, Ken 4 Philipp, Walter 3 Alladi, Krishnaswami 3 Biagioli, Anthony J. F. 3 Bialek, Paul R. 3 Huang, Sen-Shan 3 Huber, Tim 3 Kim, Byungchan 3 Lamphere, Robert L. 3 Purtilo, James M. 3 Ramanujan, Srinivasa 3 Son, Seung Hwan 3 Straub, Armin 3 Yeap, Boon Pin 3 Yesilyurt, Hamza 2 Chan, O-Yeat 2 Choi, Geumlan 2 Choi, Youn-Seo 2 Choie, YoungJu 2 Chowla, Sarvadaman 2 Fassina, Martino 2 Gesztesy, Fritz 2 Gugg, Chadwick 2 Hafner, James Lee 2 Joshi, Padmini T. 2 Lorentzen, Lisa 2 Malik, Amita 2 Paule, Peter 2 Rebák, Örs 2 Schoenfeld, Lowell 2 Sellers, James Allen 2 Venkatachaliengar, K. 2 Williams, Kenneth S. 2 Xu, Ping 2 Yi, Jinhee 2 Zhou, Roberta Rui 1 Adiga, Chandrashekar 1 Agarwal, Ashok Kumar 1 Ahlgren, Scott D. 1 Alladi, Krishna 1 Almkvist, Gert 1 Askey, Richard Allen 1 Baruah, Deka Nayandeep 1 Beck, Matthias 1 Borwein, Jonathan Michael 1 Bowman, Douglas C. 1 Chan, Huat Heng 1 Chu, Wenchang 1 Cooper, Shaun 1 de Azevedo Pribitkin, Wladimir 1 Dieter, Ulrich 1 Galway, William F. 1 Garvan, Frank G. 1 Glasser, M. Lawrence 1 Goldberg, Larry A. 1 Hahn, Heekyoung 1 Halberstam, Heini 1 Hardy, Godfrey Harold 1 Hart, William B. 1 Hill, James Murray 1 Knopp, Marvin Isadore 1 Kohnen, Winfried 1 Kongsiriwong, Sarachai 1 Koukoulopoulos, Dimitris 1 Krattenthaler, Christian Friedrich 1 Lamb, George L. jun. 1 Lee, Yoonbok 1 Li, Junxian 1 Lim, Sung-Geun 1 Liu, Zhi-Guo 1 Mullen, Gary L. 1 Phaovibul, M. Tip 1 Pongsriiam, Prapanpong 1 Prasad, Dipendra 1 Ramachandra, Kanakanahalli 1 Ramanathan, Kollagunta G. 1 Reddi, C. A. 1 Reuter, Victoria J. 1 Robles, Nicolas 1 Rogers, Mathew D. 1 Roy, Arindam ...and 11 more Co-Authors all top 5 Serials 14 The Ramanujan Journal 12 American Mathematical Monthly 12 Proceedings of the American Mathematical Society 12 Transactions of the American Mathematical Society 11 Acta Arithmetica 11 Advances in Mathematics 9 Journal für die Reine und Angewandte Mathematik 8 Journal of Number Theory 6 Glasgow Mathematical Journal 6 International Journal of Number Theory 4 Journal of Mathematical Analysis and Applications 4 Illinois Journal of Mathematics 4 Journal of the London Mathematical Society. Second Series 4 Mathematische Annalen 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Annals of Combinatorics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Rocky Mountain Journal of Mathematics 3 Bulletin of the London Mathematical Society 3 Journal of Combinatorial Theory. Series A 3 Journal of Computational and Applied Mathematics 3 Memoirs of the American Mathematical Society 3 Hardy-Ramanujan Journal 3 Bulletin of the American Mathematical Society 3 Contemporary Mathematics 3 Progress in Mathematics 3 Ramanujan Mathematical Society Lecture Notes Series 2 Mathematics Magazine 2 Canadian Journal of Mathematics 2 Canadian Mathematical Bulletin 2 Indian Journal of Mathematics 2 Journal of Approximation Theory 2 The Journal of the Indian Mathematical Society. New Series 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 Advances in Applied Mathematics 2 Journal of the Ramanujan Mathematical Society 2 IMRN. International Mathematics Research Notices 2 Aequationes Mathematicae 2 L’Enseignement Mathématique. 2e Série 2 SIAM Journal on Mathematical Analysis 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Notices of the American Mathematical Society 2 RIMS Kokyuroku 2 South East Asian Journal of Mathematics and Mathematical Sciences 2 Publications de la Faculté d’Électrotechnique de l’Université à Belgrade. Série Mathématiques et Physique 2 History of Mathematics (Providence) 2 Trends in Mathematics 1 Applicable Analysis 1 The Mathematical Intelligencer 1 Duke Mathematical Journal 1 Gaṇita 1 Journal of the Korean Mathematical Society 1 The Mathematics Student 1 Mathematika 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Results in Mathematics 1 International Journal of Mathematics 1 Elemente der Mathematik 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Journal of Algebraic Combinatorics 1 Mathematical Research Letters 1 Séminaire Lotharingien de Combinatoire 1 Acta Mathematica Sinica. English Series 1 The Quarterly Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Nordisk Matematisk Tidskrift 1 Canadian Mathematical Society Series of Monographs and Advanced Texts 1 Student Mathematical Library 1 Developments in Mathematics 1 Culture and History of Mathematics 1 Monographs in Number Theory 1 Mathematics Newsletter 1 Research in the Mathematical Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 255 Number theory (11-XX) 114 Special functions (33-XX) 45 History and biography (01-XX) 36 Combinatorics (05-XX) 23 Sequences, series, summability (40-XX) 20 General and overarching topics; collections (00-XX) 11 Approximations and expansions (41-XX) 8 Functions of a complex variable (30-XX) 4 Algebraic geometry (14-XX) 4 Numerical analysis (65-XX) 2 Integral transforms, operational calculus (44-XX) 1 Real functions (26-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 221 Publications have been cited 4,871 times in 2,877 Documents Cited by ▼ Year ▼ Ramanujan’s notebooks. Part III. Zbl 0733.11001 Berndt, Bruce C. 650 1991 Gauss and Jacobi sums. Zbl 0906.11001 Berndt, Bruce C.; Evans, Ronald J.; Williams, Kenneth S. 353 1998 Ramanujan’s notebooks. Part I. Zbl 0555.10001 Berndt, Bruce C. 250 1985 Number theory in the spirit of Ramanujan. Zbl 1117.11001 Berndt, Bruce C. 247 2006 Ramanujan’s lost notebook. I. Zbl 1075.11001 Andrews, George E.; Berndt, Bruce C. 233 2005 Ramanujan’s notebooks. Part II. Zbl 0716.11001 Berndt, Bruce C. 223 1989 Ramanujan’s notebooks. Part IV. Zbl 0785.11001 Berndt, Bruce C. 207 1994 Ramanujan’s notebooks. Part V. Zbl 0886.11001 Berndt, Bruce C. 205 1998 Ramanujan’s lost notebook. Part II. Zbl 1180.11001 Andrews, George E.; Berndt, Bruce C. 142 2009 Ramanujan’s theories of elliptic functions to alternative bases. Zbl 0843.33012 Berndt, Bruce C.; Bhargava, S.; Garvan, Frank G. 105 1995 Ramanujan: Letters and commentary. Zbl 0842.01026 Berndt, Bruce C.; Rankin, Robert A. 74 1995 On the Hurwitz zeta-function. Zbl 0229.10023 Berndt, Bruce C. 70 1972 Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan. Zbl 0384.10011 Berndt, Bruce C. 66 1978 The determination of Gauss sums. Zbl 0471.10028 Berndt, Bruce C.; Evans, Ronald J. 60 1981 Chapter 16 of Ramanujan’s second notebook: Theta-functions and q-series. Zbl 0565.33002 Adiga, C.; Berndt, Bruce C.; Bhargava, S.; Watson, G. N. 50 1985 Modular transformations and generalizations of several formulae of Ramanujan. Zbl 0365.10021 Berndt, Bruce C. 50 1977 Collected papers of Srinivasa Ramanujan. Edited by G. H. Hardy, P. V. Seshu Aiyar and B. M. Wilson. With a new preface and commentary by Bruce C. Berndt. Third printing of the 1927 original. Zbl 1110.11001 Ramanujan, Srinivasa 48 2000 Ramanujan’s series for \(1/\pi \): a survey. Zbl 1229.11162 Baruah, Deka Nayandeep; Berndt, Bruce C.; Chan, Huat Heng 48 2009 Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, \(\pi\) , and the Ladies Diary. Zbl 0665.26007 Almkvist, Gert; Berndt, Bruce C. 47 1988 Explicit evaluations and reciprocity theorems for finite trigonometric sums. Zbl 1011.11057 Berndt, Bruce C.; Yeap, Boon Pin 43 2002 Ramanujan’s lost notebook. Part III. Zbl 1248.11003 Andrews, George E.; Berndt, Bruce C. 40 2012 Sums of Gauss, Jacobi, and Jacobsthal. Zbl 0412.10027 Berndt, Bruce C.; Evans, Ronald J. 40 1979 Ramanujan’s lost notebook. Part IV. Zbl 1288.11002 Andrews, George E.; Berndt, Bruce C. 40 2013 The number of zeros for \(\zeta^{(k)}(s)\). Zbl 0203.35503 Berndt, Bruce C. 37 1970 Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications. Zbl 0316.10023 Berndt, Bruce C. 36 1975 The continued fractions found in the unorganized portions of Ramanujan’s notebooks. Zbl 0758.40001 Andrews, George E.; Berndt, Bruce C.; Jacobsen, Lisa; Lamphere, Robert L. 32 1992 Partition identities and Ramanujan’s modular equations. Zbl 1206.11132 Baruah, Nayandeep Deka; Berndt, Bruce C. 31 2007 Ramanujan’s lost notebook. Part V. Zbl 1416.11001 Andrews, George E.; Berndt, Bruce C. 29 2018 Reciprocity theorems for Dedekind sums and generalizations. Zbl 0342.10014 Berndt, Bruce C. 28 1977 Ramanujan’s unpublished manuscript on the partition and tau functions with proofs and commentary. Zbl 0932.11002 Berndt, Bruce C.; Ono, Ken 26 1999 Identities involving the coefficients of a class of Dirichlet series. I,II. Zbl 0175.32802 Berndt, Bruce C. 26 1969 Finite trigonometric sums and class numbers. Zbl 1099.11039 Berndt, Bruce C.; Zaharescu, Alexandru 26 2004 Eisenstein series and Ramanujan-type series for \(1 / \pi\). Zbl 1204.33005 Baruah, Nayandeep Deka; Berndt, Bruce C. 25 2010 Asymptotic expansions of certain partial theta functions. Zbl 1272.11057 Berndt, Bruce C.; Kim, Byungchan 25 2011 Sixth order mock theta functions. Zbl 1122.33010 Berndt, Bruce C.; Chan, Song Heng 24 2007 Classical theorems on quadratic residues. Zbl 0337.10031 Berndt, Bruce C. 23 1976 Explicit evaluations of the Rogers-Ramanujan continued fraction. Zbl 0862.33017 Berndt, Bruce C.; Chan, Heng Huat; Zhang, Liang-Cheng 23 1996 Ramanujan’s forty identities for the Rogers-Ramanujan functions. Zbl 1118.11044 Berndt, Bruce C.; Choi, Geumlan; Choi, Youn-Seo; Hahn, Heekyoung; Yeap, Boon Pin; Yee, Ae Ja; Yesilyurt, Hamza; Yi, Jinhee 22 2007 Some values for the Rogers-Ramanujan continued fraction. Zbl 0838.33011 Berndt, Bruce C.; Chan, Heng Huat 22 1995 Generalized Dedekind eta-functions and generalized Dedekind sums. Zbl 0262.10015 Berndt, Bruce C. 22 1973 Hecke’s theory of modular forms and Dirichlet series. Zbl 1202.11030 Berndt, Bruce C.; Knopp, Marvin I. 22 2008 Ramanujan’s series for \(1/\pi \) arising from his cubic and quartic theories of elliptic functions. Zbl 1139.11023 Baruah, Nayandeep Deka; Berndt, Bruce C. 21 2008 Analytic properties of arithmetic sums arising in the theory of the classical theta-functions. Zbl 0537.10006 Berndt, Bruce C.; Goldberg, Larry A. 21 1984 Generalized Eisenstein series and modified Dedekind sums. Zbl 0294.10018 Berndt, Bruce C. 20 1975 Dedekind sums and a paper of G. H. Hardy. Zbl 0319.10006 Berndt, Bruce C. 20 1976 Partition-theoretic interpretations of certain modular equations of Schröter, Russell, and Ramanujan. Zbl 1131.05008 Berndt, Bruce C. 19 2007 Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory. Zbl 0268.10008 Berndt, Bruce C.; Schoenfeld, Lowell 19 1974 The Rogers-Ramanujan continued fraction. Zbl 0953.11005 Berndt, Bruce C.; Chan, Heng Huat; Huang, Sen-Shan; Kang, Soon-Yi; Sohn, Jaebum; Son, Seung Hwan 17 1999 On Ramanujan’s quartic theory of elliptic functions. Zbl 1005.33009 Berndt, Bruce C.; Chan, Heng Huat; Liaw, Wen-Chin 17 2001 Ramanujan’s notebooks. Zbl 0389.10002 Berndt, Bruce C. 17 1978 On a secant Dirichlet series and Eichler integrals of Eisenstein series. Zbl 1402.11060 Berndt, Bruce C.; Straub, Armin 17 2016 Ramanujan’s identities for Eta-functions. Zbl 0737.11008 Berndt, Bruce C.; Zhang, Liang-Cheng 16 1992 Sums of Gauß, Eisenstein, Jacobi, Jacobsthal, and Brewer. Zbl 0393.12029 Berndt, Bruce C.; Evans, Ronald J. 16 1979 Ramanujan’s lost notebook: combinatorial proofs of identities associated with Heine’s transformation or partial theta functions. Zbl 1227.05053 Berndt, Bruce C.; Kim, Byungchan; Yee, Ae Ja 16 2010 Ramanujan’s formula for \(\zeta(2n + 1)\). Zbl 1497.11198 Berndt, Bruce C.; Straub, Armin 16 2017 The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society. Zbl 1133.11300 Berndt, Bruce C.; Choi, Youn-Seo; Kang, Soon-Yi 15 1999 Identities involving the coefficients of a class of Dirichlet series. III. Zbl 0191.33003 Berndt, Bruce C. 15 1969 New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan. Zbl 1396.11103 Berndt, Bruce C.; Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru 15 2017 Some theorems on the Rogers-Ramanujan continued fraction in Ramanujan’s lost notebook. Zbl 1037.11011 Berndt, Bruce C.; Huang, Sen-Shan; Sohn, Jaebum; Son, Seung Hwan 14 2000 Ramanujan’s remarkable product of theta-functions. Zbl 0901.33007 Berndt, Bruce C.; Chan, Heng Huat; Zhang, Liang-Cheng 14 1997 Formulas of Ramanujan for the power series coefficients of certain quotients of Eisenstein series. Zbl 1033.11019 Berndt, Bruce C.; Bialek, Paul R.; Yee, Ae Ja 14 2002 A new identity for \((q;q)_\infty^{10}\) with an application to Ramanujan’s partition congruence modulo 11. Zbl 1060.11063 Berndt, Bruce C.; Chan, Song Heng; Liu, Zhi-Guo; Yesilyurt, Hamza 14 2004 Elementary evaluation of \(\zeta(2n)\). Zbl 0303.10038 Berndt, Bruce C. 14 1975 Cranks and dissections in Ramanujan’s lost notebook. Zbl 1114.11082 Berndt, Bruce C.; Chan, Heng Huat; Chan, Song Heng; Liaw, Wen-Chin 14 2005 On the Brocard-Ramanujan Diophantine equation \(n! + 1 = m^2\). Zbl 0999.11078 Berndt, Bruce C.; Galway, William F. 13 2000 Ramanujan’s class invariants and cubic continued fraction. Zbl 0843.11007 Berndt, Bruce C.; Chan, Heng Huat; Zhang, Liang-Cheng 13 1995 Koshliakov’s formula and Guinand’s formula in Ramanujan’s lost notebook. Zbl 1183.33007 Berndt, Bruce C.; Lee, Yoonbok; Sohn, Jaebum 13 2008 Ramanujan and the modular \(j\)-invariant. Zbl 0990.11022 Berndt, Bruce C.; Chan, Heng Huat 13 1999 Combinatorial proofs of identities in Ramanujan’s lost notebook associated with the Rogers-Fine identity and false theta functions. Zbl 1037.05005 Berndt, Bruce C.; Yee, Ae Ja 13 2003 On Eisenstein series with characters and the values of Dirichlet L-functions. Zbl 0279.10023 Berndt, Bruce C. 13 1975 A certain quotient of eta-functions found in Ramanujan’s lost notebook. Zbl 1054.11022 Berndt, Bruce C.; Chan, Heng Huat; Kang, Soon-Yi; Zhang, Liang-Cheng 13 2002 Weighted divisor sums and Bessel function series. II. Zbl 1236.33010 Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 12 2012 Eisenstein series and approximations to \(\pi\). Zbl 0998.33003 Berndt, Bruce C.; Chan, Heng Huat 12 2001 On the parity of partition functions. Zbl 1047.11098 Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru 12 2003 Weighted divisor sums and Bessel function series. Zbl 1100.33001 Berndt, Bruce C.; Zaharescu, Alexandru 12 2006 A transformation formula involving the gamma and Riemann zeta functions in Ramanujan’s lost notebook. Zbl 1322.11086 Berndt, Bruce C.; Dixit, Atul 12 2010 Circle and divisor problems, and double series of Bessel functions. Zbl 1326.11059 Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 12 2013 A reciprocity theorem for certain \(q\)-series found in Ramanujan’s lost notebook. Zbl 1123.33012 Berndt, Bruce C.; Chan, Song Heng; Yeap, Boon Pin; Yee, Ae Ja 11 2007 Eisenstein series in Ramanujan’s Lost Notebook. Zbl 1024.11026 Berndt, Bruce C.; Chan, Heng Huat; Sohn, Jaebum; Son, Seung Hwan 11 2000 On the zeros of a class of Dirichlet series. I. Zbl 0188.34701 Berndt, Bruce C. 11 1970 Identities involving the coefficients of a class of Dirichlet series. V. Zbl 0228.10024 Berndt, Bruce C. 11 1971 Character transformation formulae similar to those for the Dedekind eta- function. Zbl 0265.10016 Berndt, Bruce C. 11 1973 Chapter 12 of Ramanujan’s second notebook: Continued fractions. Zbl 0589.33002 Berndt, Bruce C.; Lamphere, Robert L.; Wilson, B. M. 11 1985 Determinations of analogues of Gauss sums and other trigonometric sums. Zbl 1088.11064 Beck, Matthias; Berndt, Bruce C.; Chan, O-Yeat; Zaharescu, Alexandru 11 2005 Partition identities arising from theta function identities. Zbl 1154.11036 Baruah, Nayandeep Deka; Berndt, Bruce C. 11 2008 Identities involving the coefficients of a class of Dirichlet series. IV. Zbl 0207.05504 Berndt, Bruce C. 10 1970 Modular equations in Ramanujan’s Lost Notebook. Zbl 0989.11021 Berndt, Bruce C. 10 2000 Two new proofs of Lerch’s functional equation. Zbl 0235.10020 Berndt, Bruce C. 10 1972 Ramanujan’s class invariants, Kronecker’s limit formula, and modular equations. Zbl 0885.11058 Berndt, Bruce C.; Chan, Heng Huat; Zhang, Liang-Cheng 10 1997 Sums involving the greatest integer function and Riemann-Stieltjes integration. Zbl 0487.10002 Berndt, Bruce C.; Dieter, Ulrich 9 1982 Generalized Dirichlet series and Hecke’s functional equation. Zbl 0207.05503 Berndt, Bruce C. 9 1967 On the average order of a class of arithmetical functions. I. Zbl 0216.31303 Berndt, Bruce C. 9 1971 On the average order of a class of arithmetical functions. II. Zbl 0219.10050 Berndt, Bruce C. 9 1971 Periodic Bernoulli numbers, summation formulas and applications. Zbl 0326.10016 Berndt, Bruce C. 9 1975 Ramanujan’s theory of theta-functions. Zbl 0801.11024 Berndt, Bruce C. 9 1993 A new class of theta-function identities originating in Ramanujan’s notebooks. Zbl 0812.11028 Berndt, Bruce C.; Zhang, Liang-Cheng 9 1994 Weighted divisor sums and Bessel function series. III. Zbl 1326.11057 Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 9 2013 Incomplete elliptic integrals in Ramanujan’s lost notebook. Zbl 0971.33012 Berndt, Bruce C.; Chan, Heng Huat; Huang, Sen-Shan 8 2000 Ramanujan’s short unpublished manuscript on integrals and series related to Euler’s constant. Zbl 0964.40004 Berndt, Bruce C.; Bowman, Douglas C. 8 2000 Ramanujan: essays and surveys. Zbl 1117.11002 8 2001 A class of identities associated with Dirichlet series satisfying Hecke’s functional equation. Zbl 1522.33005 Berndt, Bruce C.; Dixit, Atul; Gupta, Rajat; Zaharescu, Alexandru 3 2022 Four identities for third order mock theta functions. Zbl 1455.11136 Andrews, George E.; Berndt, Bruce C.; Chan, Song Heng; Kim, Sun; Malik, Amita 7 2020 The final problem: an identity from Ramanujan’s lost notebook. Zbl 1431.33005 Berndt, Bruce C.; Li, Junxian; Zaharescu, Alexandru 3 2019 Ramanujan’s lost notebook. Part V. Zbl 1416.11001 Andrews, George E.; Berndt, Bruce C. 29 2018 The circle problem of Gauss and the divisor problem of Dirichlet – still unsolved. Zbl 1396.11001 Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 8 2018 Partitions into \(k\)th powers of terms in an arithmetic progression. Zbl 1412.11129 Berndt, Bruce C.; Malik, Amita; Zaharescu, Alexandru 7 2018 Sums of squares and products of Bessel functions. Zbl 1451.11024 Berndt, Bruce C.; Dixit, Atul; Kim, Sun; Zaharescu, Alexandru 6 2018 Ramanujan’s formula for \(\zeta(2n + 1)\). Zbl 1497.11198 Berndt, Bruce C.; Straub, Armin 16 2017 New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan. Zbl 1396.11103 Berndt, Bruce C.; Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru 15 2017 On a theorem of A. I. Popov on sums of squares. Zbl 1422.11077 Berndt, Bruce C.; Dixit, Atul; Kim, Sun; Zaharescu, Alexandru 3 2017 The appearance of H. F. Baker and E. W. Hobson in “The man who knew infinity”. Zbl 1390.01070 Berndt, Bruce C. 1 2017 On a secant Dirichlet series and Eichler integrals of Eisenstein series. Zbl 1402.11060 Berndt, Bruce C.; Straub, Armin 17 2016 Integrals associated with Ramanujan and elliptic functions. Zbl 1354.33015 Berndt, Bruce C. 2 2016 Ramanujan at elementary levels – glimpses. Edited and with a preface by Bruce C. Berndt, Atul Dixit, Victoria J. Reuter, Ping Xu and Boonrod Yuttanan. Zbl 1405.11003 Thiruvenkatachar, V. R.; Venkatachaliengar, K. 1 2016 Identities for partitions with distinct colors. Zbl 1386.11127 Berndt, Bruce C.; Zhou, Roberta R. 6 2015 Logarithmic means and double series of Bessel functions. Zbl 1390.11100 Berndt, Bruce C.; Kim, Sun 4 2015 Weighted divisor sums and Bessel function series. V. Zbl 1326.33007 Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 2 2015 Certain integrals arising from Ramanujan’s notebooks. Zbl 1325.33014 Berndt, Bruce C.; Straub, Armin 1 2015 Proofs of conjectures of Sandon and Zanello on colored partition identities. Zbl 1315.11092 Berndt, Bruce C.; Zhou, Roberta R. 8 2014 Analogues of Koshliakov’s formula. Zbl 1308.33004 Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 2 2014 Ramanujan’s lost notebook. Part IV. Zbl 1288.11002 Andrews, George E.; Berndt, Bruce C. 40 2013 Circle and divisor problems, and double series of Bessel functions. Zbl 1326.11059 Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 12 2013 Weighted divisor sums and Bessel function series. III. Zbl 1326.11057 Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 9 2013 The circle and divisor problems, and Ramanujan’s contributions through Bessel function series. Zbl 1360.11093 Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 5 2013 Diophantine approximation of the exponential function and Sondow’s conjecture. Zbl 1292.11079 Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 3 2013 Dirichlet \(L-\)functions, elliptic curves, hypergeometric functions, and rational approximation with partial sums of power series. Zbl 1297.11082 Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 2 2013 Euler products in Ramanujan’s lost notebook. Zbl 1281.11086 Berndt, Bruce C.; Kim, Byungchan; Williams, Kenneth S. 1 2013 Diophantine approximation with partial sums of power series. Zbl 1318.11088 Berndt, Bruce C.; Kim, Sun; Phaovibul, M. Tip; Zaharescu, Alexandru 1 2013 Ramanujan’s lost notebook. Part III. Zbl 1248.11003 Andrews, George E.; Berndt, Bruce C. 40 2012 Weighted divisor sums and Bessel function series. II. Zbl 1236.33010 Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 12 2012 Weighted divisor sums and Bessel function series. IV. Zbl 1270.11098 Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 6 2012 Ramanujan’s elementary method in partition congruences. Zbl 1263.11094 Berndt, Bruce C.; Gugg, Chadwick; Kim, Sun 4 2012 Two-dimensional series evaluations via the elliptic functions of Ramanujan and Jacobi. Zbl 1290.11112 Berndt, Bruce C.; Lamb, George; Rogers, Mathew 4 2012 Two Dirichlet series evaluations found on page 196 of Ramanujan’s lost notebook. Zbl 1275.11116 Berndt, Bruce C.; Chan, Heng Huat; Tanigawa, Yoshio 1 2012 Asymptotic expansions of certain partial theta functions. Zbl 1272.11057 Berndt, Bruce C.; Kim, Byungchan 25 2011 Character analogues of theorems of Ramanujan, Koshliakov and Guinand. Zbl 1216.33012 Berndt, Bruce C.; Dixit, Atul; Sohn, Jaebum 6 2011 On sums of powers in Ramanujan’s lost notebook. Zbl 1232.11025 Berndt, Bruce C.; Schultz, Daniel 1 2011 The chief accountant and mathematical friend of Ramanujan – S. Narayana Aiyar. Zbl 1226.01017 Berndt, Bruce C. 1 2011 Eisenstein series and Ramanujan-type series for \(1 / \pi\). Zbl 1204.33005 Baruah, Nayandeep Deka; Berndt, Bruce C. 25 2010 Ramanujan’s lost notebook: combinatorial proofs of identities associated with Heine’s transformation or partial theta functions. Zbl 1227.05053 Berndt, Bruce C.; Kim, Byungchan; Yee, Ae Ja 16 2010 A transformation formula involving the gamma and Riemann zeta functions in Ramanujan’s lost notebook. Zbl 1322.11086 Berndt, Bruce C.; Dixit, Atul 12 2010 What is a \(q\)-series? Zbl 1245.33013 Berndt, Bruce C. 6 2010 Cranks—really, the final problem. Zbl 1206.11001 Berndt, Bruce C.; Chan, Heng Huat; Chan, Song Heng; Liaw, Wen-Chin 1 2010 Ramanujan rediscovered. Proceedings of a conference on elliptic functions, partitions, and \(q\)-series in memory of K. Venkatachaliengar, Bangalore, India, June 1–5, 2009. Zbl 1214.00020 1 2010 A proof of the general theta transformation formula. Zbl 1343.11048 Berndt, Bruce C.; Gugg, Chadwick; Kongsiriwong, Sarachai; Thiel, Johann 1 2010 Ramanujan’s lost notebook. Part II. Zbl 1180.11001 Andrews, George E.; Berndt, Bruce C. 142 2009 Ramanujan’s series for \(1/\pi \): a survey. Zbl 1229.11162 Baruah, Deka Nayandeep; Berndt, Bruce C.; Chan, Huat Heng 48 2009 Ramanujan’s Eisenstein series and new hypergeometric-like series for \(1/\pi ^{2}\). Zbl 1185.33002 Baruah, Nayandeep Deka; Berndt, Bruce C. 8 2009 An integral analogue of theta functions and Gauss sums in Ramanujan’s lost notebook. Zbl 1196.11113 Berndt, Bruce C.; Xu, Ping 1 2009 A reciprocity theorem for certain hypergeometric series. Zbl 1287.33001 Berndt, Bruce C.; Koukoulopoulos, Dimitris 1 2009 Hecke’s theory of modular forms and Dirichlet series. Zbl 1202.11030 Berndt, Bruce C.; Knopp, Marvin I. 22 2008 Ramanujan’s series for \(1/\pi \) arising from his cubic and quartic theories of elliptic functions. Zbl 1139.11023 Baruah, Nayandeep Deka; Berndt, Bruce C. 21 2008 Koshliakov’s formula and Guinand’s formula in Ramanujan’s lost notebook. Zbl 1183.33007 Berndt, Bruce C.; Lee, Yoonbok; Sohn, Jaebum 13 2008 Partition identities arising from theta function identities. Zbl 1154.11036 Baruah, Nayandeep Deka; Berndt, Bruce C. 11 2008 Your hit parade: the top ten most fascinating formulas in Ramanujan’s lost notebook. Zbl 1153.33300 Andrews, George E.; Berndt, Bruce C. 5 2008 Questionable claims found in Ramanujan’s lost notebook. Zbl 1163.11002 Berndt, Bruce C.; Chan, O-Yeat; Lim, Sung-Geun; Zaharescu, Alexandru 4 2008 Partition identities and Ramanujan’s modular equations. Zbl 1206.11132 Baruah, Nayandeep Deka; Berndt, Bruce C. 31 2007 Sixth order mock theta functions. Zbl 1122.33010 Berndt, Bruce C.; Chan, Song Heng 24 2007 Ramanujan’s forty identities for the Rogers-Ramanujan functions. Zbl 1118.11044 Berndt, Bruce C.; Choi, Geumlan; Choi, Youn-Seo; Hahn, Heekyoung; Yeap, Boon Pin; Yee, Ae Ja; Yesilyurt, Hamza; Yi, Jinhee 22 2007 Partition-theoretic interpretations of certain modular equations of Schröter, Russell, and Ramanujan. Zbl 1131.05008 Berndt, Bruce C. 19 2007 A reciprocity theorem for certain \(q\)-series found in Ramanujan’s lost notebook. Zbl 1123.33012 Berndt, Bruce C.; Chan, Song Heng; Yeap, Boon Pin; Yee, Ae Ja 11 2007 Ramanujan’s congruences for the partition function modulo 5, 7, and 11. Zbl 1197.11137 Berndt, Bruce C. 5 2007 An identity for the Dedekind eta-function involving two independent complex variables. Zbl 1123.11015 Berndt, Bruce C.; Hart, William B. 3 2007 Preface: a special issue in celebration of Marvin Knopp’s 73rd birthday. Zbl 1197.01051 Berndt, Bruce C.; Choie, YoungJu 3 2007 Solving Ramanujan’s differential equations for Eisenstein series via a first order Riccati equation. Zbl 1145.11035 Hill, James M.; Berndt, Bruce C.; Huber, Tim 2 2007 Number theory in the spirit of Ramanujan. Zbl 1117.11001 Berndt, Bruce C. 247 2006 Weighted divisor sums and Bessel function series. Zbl 1100.33001 Berndt, Bruce C.; Zaharescu, Alexandru 12 2006 Ramanujan’s lost notebook. I. Zbl 1075.11001 Andrews, George E.; Berndt, Bruce C. 233 2005 Cranks and dissections in Ramanujan’s lost notebook. Zbl 1114.11082 Berndt, Bruce C.; Chan, Heng Huat; Chan, Song Heng; Liaw, Wen-Chin 14 2005 Determinations of analogues of Gauss sums and other trigonometric sums. Zbl 1088.11064 Beck, Matthias; Berndt, Bruce C.; Chan, O-Yeat; Zaharescu, Alexandru 11 2005 Continued fractions with three limit points. Zbl 1131.11311 Andrews, George E.; Berndt, Bruce C.; Sohn, Jaebum; Yee, Ae Ja; Zaharescu, Alexandru 6 2005 On the power series coefficients of certain quotients of Eisenstein series. Zbl 1145.11312 Berndt, Bruce C.; Bialek, Paul R. 5 2005 New identities for the Rogers-Ramanujan functions. Zbl 1205.11113 Berndt, Bruce C.; Yesilyurt, Hamza 5 2005 Ramanujan and cranks. Zbl 1219.33017 Berndt, Bruce C.; Chan, Heng Huat; Chan, Song Heng; Liawt, Wen-Chin 2 2005 Finite trigonometric sums and class numbers. Zbl 1099.11039 Berndt, Bruce C.; Zaharescu, Alexandru 26 2004 A new identity for \((q;q)_\infty^{10}\) with an application to Ramanujan’s partition congruence modulo 11. Zbl 1060.11063 Berndt, Bruce C.; Chan, Song Heng; Liu, Zhi-Guo; Yesilyurt, Hamza 14 2004 New theorems on the parity of partition functions. Zbl 1034.11059 Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru 5 2004 An unpublished manuscript of Ramanujan on infinite series identities. Zbl 1066.40001 Berndt, Bruce C. 5 2004 \(q\)-Gauss summation via Ramanujan and combinatorics. Zbl 1063.33027 Berndt, Bruce C.; Yee, Ae Ja 1 2004 Combinatorial proofs of identities in Ramanujan’s lost notebook associated with the Rogers-Fine identity and false theta functions. Zbl 1037.05005 Berndt, Bruce C.; Yee, Ae Ja 13 2003 On the parity of partition functions. Zbl 1047.11098 Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru 12 2003 On Ramanujan’s continued fraction for \((q^2;q^3)_{\infty}/(q;q^3)_{\infty}\). Zbl 1063.33026 Andrews, George E.; Berndt, Bruce C.; Sohn, Jaebum; Yee, Ae Ja; Zaharescu, Alexandru 8 2003 A page on Eisenstein series in Ramanujan’s Lost Notebook. Zbl 1090.11025 Berndt, Bruce C.; Yee, Ae Ja 6 2003 On the generalized Rogers–Ramanujan continued fraction. Zbl 1040.11053 Berndt, Bruce C.; Yee, Ae Ja 5 2003 Theorems on partitions from a page in Ramanujan’s lost notebook. Zbl 1031.11062 Berndt, Bruce C.; Yee, Ae Ja; Yi, Jinhee 3 2003 A quasi-theta product in Ramanujan’s lost notebook. Zbl 1055.11015 Berndt, Bruce C.; Chan, Heng Huat; Zaharescu, Alexandru 3 2003 The life and work of R. A. Rankin (1915–2001). Zbl 1039.01011 Berndt, Bruce C.; Kohnen, Winfried; Ono, Ken 2 2003 Explicit evaluations and reciprocity theorems for finite trigonometric sums. Zbl 1011.11057 Berndt, Bruce C.; Yeap, Boon Pin 43 2002 Formulas of Ramanujan for the power series coefficients of certain quotients of Eisenstein series. Zbl 1033.11019 Berndt, Bruce C.; Bialek, Paul R.; Yee, Ae Ja 14 2002 A certain quotient of eta-functions found in Ramanujan’s lost notebook. Zbl 1054.11022 Berndt, Bruce C.; Chan, Heng Huat; Kang, Soon-Yi; Zhang, Liang-Cheng 13 2002 Integrals of Eisenstein series and derivatives of \(L\)-functions. Zbl 1086.11023 Ahlgren, Scott; Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru 6 2002 Congruences for the coefficients of quotients of Eisenstein series. Zbl 1018.11020 Berndt, Bruce C.; Yee, Ae Ja 4 2002 Ramanujan’s contributions to Eisenstein series, especially in his Lost Notebook. Zbl 1241.11107 Berndt, Bruce C.; Yee, Ae Ja 3 2002 An integral of Dedekind \(\eta\)-functions in Ramanujan’s lost notebook. Zbl 1001.11017 Berndt, Bruce C.; Zaharescu, Alexandru 2 2002 Asymptotic formulas for two continued fractions in Ramanujan’s Lost Notebook. Zbl 1034.11008 Berndt, Bruce C.; Sohn, Jaebum 1 2002 Number theory and discrete mathematics. Proceedings of the international conference in honour of Srinivasa Ramanujan, Chandigarh, India, October 2–6, 2000. Zbl 0997.00018 1 2002 Number theory for the millennium I. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21–26, 2000. Zbl 1002.00005 1 2002 Number theory for the millennium III. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21–26, 2000. Zbl 1002.00007 1 2002 On Ramanujan’s quartic theory of elliptic functions. Zbl 1005.33009 Berndt, Bruce C.; Chan, Heng Huat; Liaw, Wen-Chin 17 2001 Eisenstein series and approximations to \(\pi\). Zbl 0998.33003 Berndt, Bruce C.; Chan, Heng Huat 12 2001 ...and 121 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,283 Authors 83 Berndt, Bruce Carl 47 Saikia, Nipen 41 Baruah, Nayandeep Deka 41 Xia, Ernest X. W. 40 Zaharescu, Alexandru 38 Mahadeva Naika, Megadahalli Sidda 36 Dixit, Atul 34 Chan, Heng Huat 29 Evans, Ronald J. 28 Chu, Yuming 28 Cooper, Shaun 27 Kim, Byungchan 26 Yao, Olivia Xiang Mei 25 Sun, Zhihong 24 Vasuki, Kaliyur Ranganna 24 Wang, Liuquan 24 Xu, Ce 23 Andrews, George Eyre 23 Lin, Bernard L. S. 23 Sun, Zhi-Wei 23 Tang, Dazhao 23 Williams, Kenneth S. 22 Bringmann, Kathrin 22 Gu, Nancy Shan Shan 22 Qiu, Songliang 21 Alkan, Emre 21 Wang, Miaokun 20 Chan, Song Heng 20 Chu, Wenchang 19 Chen, Chaoping 18 Cui, Su-Ping 18 Liu, Zhi-Guo 18 Lovejoy, Jeremy 18 Mc Laughlin, James G. 17 Adiga, Chandrashekar 17 Barman, Rupam 17 Maji, Bibekananda 17 Ono, Ken 17 Zudilin, Wadim 16 Sellers, James Allen 16 Zhang, Wenpeng 15 Chern, Shane 15 Guillera, Jesús 15 Mao, Renrong 15 Srivastava, Hari Mohan 15 Toh, Pee Choon 15 Ye, Dongxi 15 Yee, Ae Ja 14 Borwein, Jonathan Michael 14 Can, Mumun 14 Coffey, Mark William 14 Kumar, Belakavadi Radhakrishna Srivatsa 14 Simsek, Yilmaz 13 Chen, William Yong-Chuan 13 Garvan, Frank G. 13 Kanemitsu, Shigeru 12 Campbell, John Maxwell 12 Huber, Tim 12 Moll, Victor Hugo 12 Roy, Arindam 12 Straub, Armin 11 Berkovich, Alexander 11 Dilcher, Karl 11 Eie, Minking 11 El Bachraoui, Mohamed 11 Folsom, Amanda L. 11 Glasser, M. Lawrence 11 Guo, Victor J. W. 11 Hirschhorn, Michael D. 11 Jennings-Shaffer, Chris 11 Mortenson, Eric T. 11 Rogers, Mathew D. 11 Sills, Andrew V. 11 Vuorinen, Matti Keijo Kustaa 10 Alaca, Ayşe 10 Alzer, Horst 10 Bowman, Douglas C. 10 Cvijović, Djurdje 10 da Silva, Robson 10 Feng, Tao 10 Gupta, Rajat 10 Kostov, Vladimir Petrov 10 Kumar, Rahul 10 Merca, Mircea 10 Milas, Antun 10 Nayaka, S. Shivaprasada 10 Paris, Richard Bruce 10 Sohn, Jaebum 9 Alaca, Şaban 9 Chan, Heichi 9 Chaudhary, M. P. 9 Dağli, Muhammet Cihat 9 Gao, Peng 9 Kane, Ben 9 Kang, Soon-Yi 9 Ma, Xiaoyan 9 Ma, Xinrong 9 Ray, Chiranjit 9 Shivashankar, Chandrappa 9 Zhao, Liangyi ...and 2,183 more Authors all top 5 Cited in 360 Serials 369 The Ramanujan Journal 235 Journal of Number Theory 159 Journal of Mathematical Analysis and Applications 148 International Journal of Number Theory 77 Proceedings of the American Mathematical Society 54 Advances in Mathematics 39 Journal of Combinatorial Theory. Series A 39 Finite Fields and their Applications 37 Transactions of the American Mathematical Society 35 Research in Number Theory 34 Bulletin of the Australian Mathematical Society 34 Discrete Mathematics 34 Advances in Applied Mathematics 33 Rocky Mountain Journal of Mathematics 31 Mathematics of Computation 30 Indian Journal of Pure & Applied Mathematics 29 Journal of Computational and Applied Mathematics 27 Results in Mathematics 27 Integers 26 Applied Mathematics and Computation 26 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 26 Integral Transforms and Special Functions 23 Acta Arithmetica 22 Functiones et Approximatio. Commentarii Mathematici 22 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 21 Annals of Combinatorics 20 Designs, Codes and Cryptography 19 South East Asian Journal of Mathematics and Mathematical Sciences 17 Acta Mathematica Sinica. English Series 15 Monatshefte für Mathematik 15 Journal de Théorie des Nombres de Bordeaux 14 Mathematical Notes 14 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 13 Journal of Approximation Theory 13 Mathematische Zeitschrift 13 Proceedings of the Japan Academy. Series A 13 Journal of the Ramanujan Mathematical Society 12 American Mathematical Monthly 12 International Journal of Mathematics and Mathematical Sciences 12 Mathematische Annalen 12 Proceedings of the Edinburgh Mathematical Society. Series II 12 Boletín de la Sociedad Matemática Mexicana. Third Series 12 Research in the Mathematical Sciences 11 Lithuanian Mathematical Journal 11 Turkish Journal of Mathematics 11 Journal of High Energy Physics 11 Cryptography and Communications 11 Afrika Matematika 10 European Journal of Combinatorics 10 The Journal of Analysis 10 Abstract and Applied Analysis 10 Journal of Integer Sequences 10 Journal of the Australian Mathematical Society 10 Advances in Difference Equations 10 Applicable Analysis and Discrete Mathematics 10 Science China. Mathematics 10 Journal of Mathematics 9 Communications in Mathematical Physics 9 Czechoslovak Mathematical Journal 9 Indagationes Mathematicae. New Series 9 Experimental Mathematics 9 The Electronic Journal of Combinatorics 9 Journal of Difference Equations and Applications 9 Computational Methods and Function Theory 8 Israel Journal of Mathematics 8 Acta Mathematica Hungarica 8 Communications of the Korean Mathematical Society 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Palestine Journal of Mathematics 8 Journal of Classical Analysis 8 Journal of Ramanujan Society of Mathematics and Mathematical Sciences 8 AIMS Mathematics 7 Journal of Mathematical Physics 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Archiv der Mathematik 7 Duke Mathematical Journal 7 Manuscripta Mathematica 7 Bulletin of the Korean Mathematical Society 7 Expositiones Mathematicae 7 Journal of Algebraic Combinatorics 7 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 7 Journal of Physics A: Mathematical and Theoretical 7 Open Mathematics 7 Korean Journal of Mathematics 7 Electronic Research Archive 6 Ukrainian Mathematical Journal 6 The Mathematical Intelligencer 6 Journal of Algebra 6 Journal of the Korean Mathematical Society 6 Journal of the London Mathematical Society. Second Series 6 Mathematica Slovaca 6 Nagoya Mathematical Journal 6 Forum Mathematicum 6 Linear Algebra and its Applications 6 Filomat 6 Journal of Inequalities and Applications 6 Mathematical Inequalities & Applications 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications ...and 260 more Serials all top 5 Cited in 57 Fields 2,294 Number theory (11-XX) 933 Special functions (33-XX) 665 Combinatorics (05-XX) 133 Functions of a complex variable (30-XX) 105 Sequences, series, summability (40-XX) 99 Algebraic geometry (14-XX) 85 Real functions (26-XX) 79 Approximations and expansions (41-XX) 72 Numerical analysis (65-XX) 58 Information and communication theory, circuits (94-XX) 56 Quantum theory (81-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 39 Probability theory and stochastic processes (60-XX) 28 Computer science (68-XX) 26 History and biography (01-XX) 26 Ordinary differential equations (34-XX) 22 Nonassociative rings and algebras (17-XX) 21 Difference and functional equations (39-XX) 21 Integral transforms, operational calculus (44-XX) 19 Field theory and polynomials (12-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 18 Group theory and generalizations (20-XX) 17 Partial differential equations (35-XX) 17 Manifolds and cell complexes (57-XX) 17 Statistical mechanics, structure of matter (82-XX) 13 Geometry (51-XX) 12 Functional analysis (46-XX) 11 Global analysis, analysis on manifolds (58-XX) 8 Relativity and gravitational theory (83-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 General and overarching topics; collections (00-XX) 6 Commutative algebra (13-XX) 6 Measure and integration (28-XX) 6 Differential geometry (53-XX) 6 Statistics (62-XX) 5 Abstract harmonic analysis (43-XX) 5 Convex and discrete geometry (52-XX) 5 Biology and other natural sciences (92-XX) 4 Topological groups, Lie groups (22-XX) 4 Potential theory (31-XX) 4 Operator theory (47-XX) 4 Mechanics of particles and systems (70-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Category theory; homological algebra (18-XX) 3 Mathematics education (97-XX) 2 \(K\)-theory (19-XX) 2 Algebraic topology (55-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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