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## Murty, Maruti Ram

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 Author ID: murty.maruti-ram Published as: Murty, M. Ram; Murty, Maruti Ram; Ram Murty, M.; Ram Murty, Maruti; Murty, M. R.; Murty Homepage: http://www.mast.queensu.ca/~murty/ External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 263 Publications since 1974, including 23 Books Reviewing Activity: 8 Reviews Biographic References: 1 Publication
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#### Co-Authors

 64 single-authored 30 Murty, Vijaya Kumar 13 Gun, Sanoli 12 Rath, Purusottam 7 Saradha, N. 5 Vatwani, Akshaa 4 Dewar, Michael C. 4 Graves, Hester 4 Gupta, Rajiv 4 Pathak, Siddhi S. 4 Sinha, Kaneenika 4 Srinivas, Kotyada 3 Chatterjee, Tapas 3 Cioabă, Sebastian M. 3 Cojocaru, Alina Carmen 3 Coppola, Giovanni 3 Felix, Adam Tyler 3 Fouvry, Etienne 3 Lee, Jung-Jo 3 Liu, Yu-Ru 3 Meher, Jaban 3 Pasten, Hector V. 3 Petersen, Kathleen L. 3 Saha, Biswajyoti 3 Weatherby, Chester J. 2 Aktaş, Kevser 2 Balasubramanian, Ramachandran 2 Erdős, Pál 2 Esmonde, Jody 2 Goresky, Robert Mark 2 Herzberg, Agnes Margaret 2 Kar, Arpita 2 Klapper, Andrew M. 2 Kuo, Wentang 2 Mai, Liem 2 Miller, Steven J. 2 Mukhopadhyay, Anirban 2 Prabhu, Neha 2 Séguin, François 2 Shparlinski, Igor E. 2 Thain, Nithum 1 Adhikari, Sukumar Das 1 Akbary, Amir 1 Baba, Srinath 1 Balasubramanian, Kumar 1 Becker, Riley 1 Bhand, Ajit 1 Biswas, Arunabha 1 Cardon, David A. 1 Carrell, James B. 1 Cellarosi, Francesco 1 Chahal, Jasbir Singh 1 Chakraborty, Kalyan 1 Clark, David Alan 1 Cogdell, James W. 1 Dixit, Anup B. 1 Drury, Stephen William 1 Fodden, Brandon 1 Franc, Cameron 1 Friedman, Joel 1 Gadiyar, Hejmadi Gopalakrishna 1 Güloğlu, Ahmet Muhtar 1 Hamieh, Alia 1 Harper, Malcolm 1 Hashim, Ashwaq 1 Hoffstein, Jeffrey 1 Hulse, Thomas A. 1 Kim, Henry H. 1 Kim, Seoyoung 1 Kisilevsky, Hershy 1 Krishnamoorthy, Srilakshmi 1 Kumari, Moni 1 Kung, Joseph P. S. 1 Laishram, Shanta 1 Miyamoto, Ian 1 Mohit, Satya 1 Osburn, Robert 1 Pacelli, Allison M. 1 Padma, Ramanathan 1 Park, Donghoon 1 Perelli, Alberto 1 Petridis, Yiannis N. 1 Pujahari, Sudhir 1 Raghuram, Anantharam 1 Rajan, Conjeeveram S. 1 Reece, Marilyn 1 Rosen, Michael I. 1 Rota, Gian-Carlo 1 Saha, Ekata 1 Saidak, Filip 1 Sampath, Kannappan 1 Sankaranarayanan, Ayyadurai 1 Seetala, S. N. 1 Shader, Bryan L. 1 Shankhadhar, Karam Deo 1 Shorey, Tarlok Nath 1 Silverman, Joseph Hillel 1 Smyth, Christopher J. 1 Stewart, Cameron L. 1 Strauch, Frederick W. 1 Subramani, Muthukrishnan ...and 14 more Co-Authors
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#### Serials

 30 Journal of Number Theory 16 Proceedings of the American Mathematical Society 14 Journal of the Ramanujan Mathematical Society 13 International Journal of Number Theory 8 Canadian Journal of Mathematics 7 Hardy-Ramanujan Journal 6 American Mathematical Monthly 5 Canadian Mathematical Bulletin 4 Acta Arithmetica 4 Functiones et Approximatio. Commentarii Mathematici 4 Mathematische Annalen 4 Comptes Rendus Mathématiques de l’Académie des Sciences 4 Forum Mathematicum 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 The Ramanujan Journal 4 Graduate Texts in Mathematics 3 Indian Journal of Pure & Applied Mathematics 3 Inventiones Mathematicae 3 Mathematika 3 Mathematics Newsletter 2 Journal of Combinatorial Theory. Series A 2 The Journal of the Indian Mathematical Society. New Series 2 CRM Proceedings & Lecture Notes 2 Institute of Mathematical Sciences Lecture Notes 1 Bulletin of the Australian Mathematical Society 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 American Journal of Mathematics 1 Annales des Sciences Mathématiques du Québec 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Combinatorial Theory. Series B 1 Journal of the Madras University. Section B: Mathematics, Physical and Biological Sciences 1 Journal für die Reine und Angewandte Mathematik 1 The Mathematics Student 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Computers & Operations Research 1 Internationale Mathematische Nachrichten 1 SIAM Journal on Discrete Mathematics 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Elemente der Mathematik 1 Glasnik Matematički. Serija III 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Expositiones Mathematicae 1 Notices of the American Mathematical Society 1 Kyushu Journal of Mathematics 1 Finite Fields and their Applications 1 The New York Journal of Mathematics 1 Mathematical Research Letters 1 ELA. The Electronic Journal of Linear Algebra 1 Annals of Mathematics. Second Series 1 Pure and Applied Mathematics Quarterly 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Fields Institute Monographs 1 London Mathematical Society Student Texts 1 Progress in Mathematics 1 AMS/IP Studies in Advanced Mathematics 1 Texts and Readings in Mathematics 1 Student Mathematical Library 1 Ramanujan Mathematical Society Lecture Notes Series 1 Modern Birkhäuser Classics 1 Indian Journal of Discrete Mathematics 1 HBA Lecture Notes in Mathematics
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#### Fields

 250 Number theory (11-XX) 21 Algebraic geometry (14-XX) 12 Combinatorics (05-XX) 11 Group theory and generalizations (20-XX) 10 General and overarching topics; collections (00-XX) 6 Special functions (33-XX) 4 Functions of a complex variable (30-XX) 3 History and biography (01-XX) 3 Commutative algebra (13-XX) 3 Abstract harmonic analysis (43-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

190 Publications have been cited 1,426 times in 964 Documents Cited by Year
Mean values of derivatives of modular $$L$$-series. Zbl 0745.11032
Murty, M. Ram; Murty, V. Kumar
1991
A remark on Artin’s conjecture. Zbl 0549.10037
Gupta, Rajiv; Murty, M. Ram
1984
On Artin’s conjecture. Zbl 0526.12010
Murty, M. Ram
1983
Ramanujan graphs. Zbl 1038.05038
Murty, M. Ram
2003
Non-vanishing of $$L$$-functions and applications. Zbl 0916.11001
Murty, M. Ram; Murty, V. Kumar
1997
Oscillations of Fourier coefficients of modular forms. Zbl 0489.10020
Murty, M. Ram
1983
An introduction to sieve methods and their applications. Zbl 1121.11063
Cojocaru, Alina Carmen; Murty, M. Ram
2006
On the distribution of supersingular primes. Zbl 0864.11030
Fouvry, Etienne; Murty, M. Ram
1996
Modular forms and the Chebotarev density theorem. Zbl 0644.10018
Murty, M. Ram; Murty, V. Kumar; Saradha, N.
1988
Problems in analytic number theory. 2nd ed. Zbl 1190.11001
Murty, M. Ram
2008
Transcendental values of the digamma function. Zbl 1222.11097
Murty, M. Ram; Saradha, N.
2007
Problems in algebraic number theory. 2nd revised and expanded ed. Zbl 1055.11001
Murty, M. Ram; Esmonde, Jody
2005
Artin’s conjecture for primitive roots. Zbl 0656.10044
Murty, M. Ram
1988
Introduction to $$p$$-adic analytic number theory. Zbl 1031.11067
Murty, M. Ram
2002
Primitive points on elliptic curves. Zbl 0598.14018
Gupta, Rajiv; Murty, M. Ram
1986
Cyclicity of elliptic curves modulo $$p$$ and elliptic curve analogues of Linnik’s problem. Zbl 1087.11037
Cojocaru, Alina Carmen; Murty, M. Ram
2004
Exponents of class groups of quadratic fields. Zbl 0993.11059
Murty, M. Ram
1999
Euler-Lehmer constants and a conjecture of Erdős. Zbl 1204.11114
Murty, M. Ram; Saradha, N.
2010
A variant of the Bombieri-Vinogradov theorem. Zbl 0619.10039
Murty, M. Ram; Murty, V. Kumar
1987
Selberg’s conjectures and Artin $$L$$-functions. Zbl 0805.11062
Murty, M. Ram
1994
Cyclicity and generation of points mod $$p$$ on elliptic curves. Zbl 0731.14011
Gupta, Rajiv; Murty, M. Ram
1990
Effective equidistribution of eigenvalues of Hecke operators. Zbl 1234.11055
Murty, M. Ram; Sinha, Kaneenika
2009
Prime numbers and irreducible polynomials. Zbl 1053.11020
Murty, M. Ram
2002
Lectures on automorphic $$L$$-functions. Zbl 1066.11021
Cogdell, James W.; Kim, Henry H.; Murty, M. Ram
2004
Transcendental values of certain Eichler integrals. Zbl 1278.11056
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam
2011
Non-vanishing of $$L$$-functions and applications. Reprint of the 1997 edition. Zbl 1235.11086
Murty, M. Ram; Murty, V. Kumar
2012
Problems in analytic number theory. Zbl 0971.11001
Murty, M. Ram
2001
Euclidean rings of algebraic integers. Zbl 1048.11080
Harper, Malcolm; Murty, M. Ram
2004
On the order of $$(a \text{mod} p)$$. Zbl 0931.11034
Erdős, Pál; Murty, M. Ram
1999
Multiple Hurwitz zeta functions. Zbl 1124.11046
Murty, M. Ram; Sinha, Kaneenika
2006
On the number of real quadratic fields with class number divisible by 3. Zbl 1024.11073
Chakraborty, K.; Murty, M. Ram
2003
On the Rédei zeta function. Zbl 0446.05003
Kung, Joseph P. S.; Murty, M. Ram; Rota, Gian-Carlo
1980
Zeros of Ramanujan polynomials. Zbl 1238.11033
Murty, M. Ram; Smyth, Chris; Wang, Rob J.
2011
Strong multiplicity one for Selberg’s class. Zbl 0823.11049
Murty, Maruti Ram; Murty, Vijaya Kumar
1994
Ramanujan series for arithmetical functions. Zbl 1344.11006
Murty, M. Ram
2013
The pair correlation of zeros of functions in the Selberg class. Zbl 0929.11030
Murty, M. Ram; Perelli, Alberto
1999
On the estimation of eigenvalues of Hecke operators. Zbl 0588.10027
Murty, M. Ram
1985
Special values of the polygamma functions. Zbl 1189.11039
Murty, M. Ram; Saradha, N.
2009
Problems in algebraic number theory. Zbl 0911.11001
Esmonde, Jody; Murty, M. Ram
1999
Prime divisors of Fourier coefficients of modular forms. Zbl 0537.10026
Murty, M. Ram; Murty, V. Kumar
1984
Ramanujan-Fourier series and a theorem of Ingham. Zbl 1362.11084
Gadiyar, H. Gopalakrishna; Murty, M. Ram; Padma, R.
2014
The abc conjecture and non-Wieferich primes in arithmetic progressions. Zbl 1272.11014
Graves, Hester; Murty, M. Ram
2013
A derivation of the Hardy-Ramanujan formula from an arithmetic formula. Zbl 1357.11104
Dewar, Michael; Murty, M. Ram
2013
On groups of squarefree order. Zbl 0531.10048
Murty, M. Ram; Murty, V. Kumar
1984
Sign changes of Fourier coefficients of half-integral weight cusp forms. Zbl 1304.11029
Meher, Jaban; Murty, M. Ram
2014
A problem of Chowla revisited. Zbl 1241.11083
Murty, M. Ram; Murty, V. Kumar
2011
Spectral estimates for abelian Cayley graphs. Zbl 1083.05024
Friedman, Joel; Murty, M. Ram; Tillich, Jean-Pierre
2006
A simple derivation of $$\zeta(1-K)=-B_K/K$$. Zbl 1034.11048
Murty, M. Ram; Reece, Marilyn
2000
The Euclidean algorithm for Galois extensions of $$\mathbb{Q}$$. Zbl 0814.11049
Clark, David A.; Murty, M. Ram
1995
An analogue of the Erdős-Kac theorem for Fourier coefficients of modular forms. Zbl 0557.10033
Murty, M. Ram; Murty, V. Kumar
1984
Explicit formulas for the pair correlation of zeros of functions in the Selberg class. Zbl 1030.11044
Murty, M. Ram; Zaharescu, Alexandru
2002
Variations on a theme of Romanoff. Zbl 0869.11004
Murty, M. Ram; Rosen, Michael; Silverman, Joseph H.
1996
Transcendental values of class group $$L$$-functions. Zbl 1281.11071
Murty, M. Ram; Murty, V. Kumar
2011
Congruences between modular forms. Zbl 0910.11018
Murty, M. Ram
1997
Uniform distribution of zeros of Dirichlet series. Zbl 1179.11028
Akbary, Amir; Murty, M. Ram
2008
Counting integral ideals in a number field. Zbl 1129.11051
Murty, M. Ram; Van Order, Jeanine
2007
Transcendental nature of special values of $$L$$-functions. Zbl 1218.11070
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam
2011
On the supersingular reduction of elliptic curves. Zbl 0654.14018
Murty, M. Ram
1987
The square sieve and the Lang-Trotter conjecture. Zbl 1094.11021
Cojocaru, Alina Carmen; Fouvry, Etienne; Murty, M. Ram
2005
An analogue of Artin’s conjecture for Abelian extensions. Zbl 0531.12010
Murty, M. Ram
1984
Averages of exponential twists of the Liouville function. Zbl 1012.11076
Murty, M. Ram; Sankaranarayanan, A.
2002
Exponents of class groups of quadratic function fields over finite fields. Zbl 0999.11069
Cardon, David A.; Murty, M. Ram
2001
Irreducibility of Hecke polynomials. Zbl 1162.11335
Baba, Srinath; Murty, M. Ram
2003
Non-vanishing of Dirichlet series with periodic coefficients. Zbl 1304.11092
Chatterjee, Tapas; Murty, M. Ram
2014
The Fibonacci zeta function. Zbl 1307.11096
Murty, M. Ram
2013
Distinguishing Hecke eigenforms. Zbl 1364.11094
Murty, M. Ram; Pujahari, Sudhir
2017
The ABC conjecture and exponents of class groups of quadratic fields. Zbl 0893.11043
Murty, M. Ram
1998
The analytic rank of $$J_ 0 (N) (\mathbb{Q})$$. Zbl 0851.11036
Murty, M. Ram
1995
Some remarks on Artin’s conjecture. Zbl 0574.10005
Murty, M. Ram; Srinivasan, S.
1987
Odd values of Fourier coefficients of certain modular forms. Zbl 1197.11056
Murty, M. Ram; Murty, V. Kumar
2007
Transcendental values of the $$p$$-adic digamma function. Zbl 1253.11077
Murty, M. Ram; Saradha, N.
2008
The $$abc$$ conjecture and prime divisors of the Lucas and Lehmer sequences. Zbl 1030.11012
Murty, M. Ram; Wong, Siman
2002
Non-abelian generalizations of the Erdős-Kac theorem. Zbl 1061.11052
Murty, M. Ram; Saidak, Filip
2004
On a conjecture of Chowla and Milnor. Zbl 1273.11135
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam
2011
Stronger multiplicity one theorems for forms of general type on $$GL_ 2$$. Zbl 0874.11041
Murty, M. Ram; Rajan, C. S.
1996
The mathematical legacy of Srinivasa Ramanujan. Zbl 1277.01002
Murty, M. Ram; Murty, V. Kumar
2013
Oscillations of coefficients of Dirichlet series attached to automorphic forms. Zbl 1409.11073
Meher, Jaban; Murty, M. Ram
2017
Odd values of the Ramanjuan $$\tau$$-function. Zbl 0635.10020
Murty, M. Ram; Murty, V. Kumar; Shorey, T. N.
1987
Transcendental numbers. Zbl 1297.11001
Murty, M. Ram; Rath, Purusottam
2014
Sudoku squares and chromatic polynomials. Zbl 1156.05301
Herzberg, Agnes M.; Murty, M. Ram
2007
Linear independence of Hurwitz zeta values and a theorem of Baker-Birch-Wirsing over number fields. Zbl 1310.11077
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam
2012
An introduction to Artin $$L$$-functions. Zbl 1078.11065
Murty, M. Ram
2001
On the error term in a Parseval type formula in the theory of Ramanujan expansions. II. Zbl 1396.11005
Coppola, Giovanni; Murty, M. Ram; Saha, Biswajyoti
2016
Algebraic independence of values of modular forms. Zbl 1231.11082
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam
2011
A motivated introduction to the Langlands program. Zbl 0806.11054
Murty, M. Ram
1993
The Phragmén-Lindelöf theorem and modular elliptic curves. Zbl 0822.11047
Mai, Liem; Murty, M. Ram
1994
Transcendence of the log gamma function and some discrete periods. Zbl 1175.11039
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam
2009
On the asymptotics for invariants of elliptic curves modulo $$p$$. Zbl 1296.11060
Felix, Adam Tyler; Murty, M. Ram
2013
An asymptotic formula for the coefficients of $$j(z)$$. Zbl 1335.11033
Dewar, Michael; Murty, M. Ram
2013
Transcendence of generalized Euler constants. Zbl 1310.11075
Murty, M. Ram; Zaytseva, Anastasia
2013
A family of number fields with unit rank at least 4 that has Euclidean ideals. Zbl 1329.11115
Graves, Hester; Murty, M. Ram
2013
A Bombieri-Vinogradov theorem for all number fields. Zbl 1336.11072
Murty, M. Ram; Petersen, Kathleen L.
2013
Bounds for congruence primes. Zbl 0933.11024
Murty, M. Ram
1999
On Kummer’s conjecture. Zbl 0994.11036
Murty, M. Ram; Petridis, Yiannis N.
2001
Selberg’s conjectures and Artin $$L$$-functions. II. Zbl 0886.11064
Murty, M. Ram
1995
An Omega-theorem for Ramanujan’s tau-function. Zbl 0499.10024
Balasubramanian, R.; Murty, M. Ram
1982
On the $$p$$-adic series $$\sum^\infty_{n=1} n^k\cdot n!$$. Zbl 1074.11012
Murty, M. Ram; Sumner, Sarah
2004
The Turán sieve method and some of its applications. Zbl 1059.11054
Liu, Yu-Ru; Murty, M. Ram
1999
Artin’s conjecture and elliptic analogues. Zbl 0931.11018
Murty, M. Ram
1997
On decimations of $$\ell$$-sequences. Zbl 1114.11015
Goresky, Mark; Klapper, Andrew; Murty, M. Ram; Shparlinski, Igor
2004
Diophantine $$m$$-tuples with the property $$D(n)$$. Zbl 1455.11048
Becker, Riley; Murty, M. Ram
2019
A lower bound for the two-variable Artin conjecture and prime divisors of recurrence sequences. Zbl 1437.11141
Murty, M. Ram; Séguin, François; Stewart, Cameron L.
2019
A vanishing criterion for Dirichlet series with periodic coefficients. Zbl 1440.11158
Chatterjee, Tapas; Murty, M. Ram; Pathak, Siddhi
2018
A remark on the Lang-Trotter and Artin conjectures. Zbl 1431.11111
Murty, M. Ram; Vatwani, Akshaa
2018
Simultaneous non-vanishing and sign changes of Fourier coefficients of modular forms. Zbl 1422.11086
Kumari, Moni; Murty, M. Ram
2018
Elliptic curves, $$L$$-functions, and Hilbert’s tenth problem. Zbl 1441.11300
Murty, M. Ram; Pasten, Hector
2018
Special values of derivatives of $$L$$-series and generalized Stieltjes constants. Zbl 1421.11057
Murty, M. Ram; Pathak, Siddhi
2018
Transcendental numbers and special values of Dirichlet series. Zbl 1440.11164
Murty, M. Ram
2018
Admissible primes and Euclidean quadratic fields. Zbl 1425.11168
Murty, M. Ram; Srinivas, Kotyada; Subramani, Muthukrishnan
2018
Distinguishing Hecke eigenforms. Zbl 1364.11094
Murty, M. Ram; Pujahari, Sudhir
2017
Oscillations of coefficients of Dirichlet series attached to automorphic forms. Zbl 1409.11073
Meher, Jaban; Murty, M. Ram
2017
Bertrand’s postulate for number fields. Zbl 1422.11231
Hulse, Thomas A.; Murty, M. Ram
2017
Twin primes and the parity problem. Zbl 1421.11075
Murty, M. Ram; Vatwani, Akshaa
2017
The analog of the Erdös distance problem in finite fields. Zbl 1430.11161
Adhikari, S. D.; Mukhopadhyay, Anirban; Murty, M. Ram
2017
Finite Ramanujan expansions and shifted convolution sums of arithmetical functions. Zbl 1403.11003
Coppola, Giovanni; Murty, M. Ram; Saha, Biswajyoti
2017
A higher rank Selberg sieve with an additive twist and applications. Zbl 1427.11088
Murty, M. Ram; Vatwani, Akshaa
2017
On the number of special numbers. Zbl 1421.11074
Aktaş, Kevser; Murty, M. Ram
2017
On the error term in a Parseval type formula in the theory of Ramanujan expansions. II. Zbl 1396.11005
Coppola, Giovanni; Murty, M. Ram; Saha, Biswajyoti
2016
On the nature of $$e^{\gamma}$$ and non-vanishing of derivatives of $$L$$-series at $$s=1/2$$. Zbl 1400.11116
Murty, M. Ram; Tanabe, Naomi
2016
A generalization of Euler’s theorem for $$\zeta(2k)$$. Zbl 1341.11040
Murty, M. Ram; Weatherby, Chester
2016
Some remarks on the discrete uncertainty principle. Zbl 1418.11024
Murty, M. Ram
2016
Generalization of an identity of Ramanujan. Zbl 1425.11145
Gun, Sanoli; Murty, M. Ram
2016
On sign changes for almost prime coefficients of half-integral weight modular forms. Zbl 1401.11093
Krishnamoorthy, Srilakshmi; Murty, M. Ram
2016
Some remarks related to Maeda’s conjecture. Zbl 1401.11089
Murty, M. Ram; Srinivas, K.
2016
Generalization of a theorem of Hurwitz. Zbl 1425.11137
Lee, Jung-Jo; Murty, M. Ram; Park, Donghoon
2016
On the error term in a Parseval type formula in the theory of Ramanujan expansions. Zbl 1395.11117
Murty, M. Ram; Saha, Biswajyoti
2015
Problems in the theory of modular forms. Zbl 1357.11002
Murty, M. Ram; Dewar, Michael; Graves, Hester
2015
On a conjecture of Erdős and certain Dirichlet series. Zbl 1333.11084
Chatterjee, Tapas; Murty, M. Ram
2015
Special values of the gamma function at CM points. Zbl 1319.11048
Murty, M. Ram; Weatherby, Chester
2015
Ramanujan-Fourier series and a theorem of Ingham. Zbl 1362.11084
Gadiyar, H. Gopalakrishna; Murty, M. Ram; Padma, R.
2014
Sign changes of Fourier coefficients of half-integral weight cusp forms. Zbl 1304.11029
Meher, Jaban; Murty, M. Ram
2014
Non-vanishing of Dirichlet series with periodic coefficients. Zbl 1304.11092
Chatterjee, Tapas; Murty, M. Ram
2014
Transcendental numbers. Zbl 1297.11001
Murty, M. Ram; Rath, Purusottam
2014
Counting squarefree values of polynomials with error term. Zbl 1318.11122
Murty, M. Ram; Pasten, Hector
2014
A note on special values of $$L$$-functions. Zbl 1302.11057
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam
2014
Divisors of Fourier coefficients of modular forms. Zbl 1302.11022
Gun, Sanoli; Murty, M. Ram
2014
Ramanujan series for arithmetical functions. Zbl 1344.11006
Murty, M. Ram
2013
The abc conjecture and non-Wieferich primes in arithmetic progressions. Zbl 1272.11014
Graves, Hester; Murty, M. Ram
2013
A derivation of the Hardy-Ramanujan formula from an arithmetic formula. Zbl 1357.11104
Dewar, Michael; Murty, M. Ram
2013
The Fibonacci zeta function. Zbl 1307.11096
Murty, M. Ram
2013
The mathematical legacy of Srinivasa Ramanujan. Zbl 1277.01002
Murty, M. Ram; Murty, V. Kumar
2013
On the asymptotics for invariants of elliptic curves modulo $$p$$. Zbl 1296.11060
Felix, Adam Tyler; Murty, M. Ram
2013
An asymptotic formula for the coefficients of $$j(z)$$. Zbl 1335.11033
Dewar, Michael; Murty, M. Ram
2013
Transcendence of generalized Euler constants. Zbl 1310.11075
Murty, M. Ram; Zaytseva, Anastasia
2013
A family of number fields with unit rank at least 4 that has Euclidean ideals. Zbl 1329.11115
Graves, Hester; Murty, M. Ram
2013
A Bombieri-Vinogradov theorem for all number fields. Zbl 1336.11072
Murty, M. Ram; Petersen, Kathleen L.
2013
Modular forms and effective Diophantine approximation. Zbl 1297.11022
Murty, M. Ram; Pasten, Hector
2013
The Euclidean algorithm for number fields and primitive roots. Zbl 1309.11005
Murty, M. Ram; Petersen, Kathleen L.
2013
Ramanujan’s proof of Bertrand’s postulate. Zbl 1318.11117
Meher, Jaban; Murty, M. Ram
2013
The partition function revisited. Zbl 1360.11098
Murty, M. Ram
2013
The work of K. Ramachandra in algebraic number theory. Zbl 1303.11004
Murty, M. Ram
2013
Non-vanishing of $$L$$-functions and applications. Reprint of the 1997 edition. Zbl 1235.11086
Murty, M. Ram; Murty, V. Kumar
2012
Linear independence of Hurwitz zeta values and a theorem of Baker-Birch-Wirsing over number fields. Zbl 1310.11077
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam
2012
The uncertainty principle and a generalization of a theorem of Tao. Zbl 1242.43008
Murty, M. Ram; Whang, Junho Peter
2012
Transcendental values of class group $$L$$-functions. II. Zbl 1282.11082
Murty, M. Ram; Murty, V. Kumar
2012
A problem of Fomenko’s related to Artin’s conjecture. Zbl 1264.11084
Felix, Adam Tyler; Murty, M. Ram
2012
A variant of the Lang-Trotter conjecture. Zbl 1276.11159
Murty, M. Ram; Murty, V. Kumar
2012
Transcendental values of certain Eichler integrals. Zbl 1278.11056
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam
2011
Zeros of Ramanujan polynomials. Zbl 1238.11033
Murty, M. Ram; Smyth, Chris; Wang, Rob J.
2011
A problem of Chowla revisited. Zbl 1241.11083
Murty, M. Ram; Murty, V. Kumar
2011
Transcendental values of class group $$L$$-functions. Zbl 1281.11071
Murty, M. Ram; Murty, V. Kumar
2011
Transcendental nature of special values of $$L$$-functions. Zbl 1218.11070
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam
2011
On a conjecture of Chowla and Milnor. Zbl 1273.11135
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam
2011
Algebraic independence of values of modular forms. Zbl 1231.11082
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam
2011
On the transcendence of certain infinite series. Zbl 1235.11070
Murty, M. Ram; Weatherby, Chester J.
2011
On a problem of Ruderman. Zbl 1264.11059
Murty, M. Ram; Murty, V. Kumar
2011
Some remarks on a problem of Chowla. Zbl 1276.11123
Murty, M. Ram
2011
Effective equidistribution and the Sato-Tate law for families of elliptic curves. Zbl 1207.11062
Miller, Steven J.; Murty, M. Ram
2011
Euler-Lehmer constants and a conjecture of Erdős. Zbl 1204.11114
Murty, M. Ram; Saradha, N.
2010
Factoring new parts of Jacobians of certain modular curves. Zbl 1205.11048
Murty, M. Ram; Sinha, Kaneenika
2010
Small solutions of polynomial congruences. Zbl 1203.11002
Murty, M. Ram
2010
The Sato-Tate conjecture and generalizations. Zbl 1223.11071
Murty, M. Ram; Murty, V. Kumar
2010
Effective equidistribution of eigenvalues of Hecke operators. Zbl 1234.11055
Murty, M. Ram; Sinha, Kaneenika
2009
Special values of the polygamma functions. Zbl 1189.11039
Murty, M. Ram; Saradha, N.
2009
Transcendence of the log gamma function and some discrete periods. Zbl 1175.11039
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam
2009
Counting squarefree discriminants of trinomials under $$abc$$. Zbl 1217.11093
Mukhopadhyay, Anirban; Murty, M. Ram; Srinivas, Kotyada
2009
The generalized Artin conjecture and arithmetic orbifolds. Zbl 1230.11141
Murty, M. Ram; Petersen, Kathleen L.
2009
A first course in graph theory and combinatorics. Zbl 1216.05001
Cioabă, Sebastian M.; Murty, M. Ram
2009
Problems in analytic number theory. 2nd ed. Zbl 1190.11001
Murty, M. Ram
2008
Uniform distribution of zeros of Dirichlet series. Zbl 1179.11028
Akbary, Amir; Murty, M. Ram
2008
Transcendental values of the $$p$$-adic digamma function. Zbl 1253.11077
Murty, M. Ram; Saradha, N.
2008
Summation methods and distribution of eigenvalues of Hecke operators. Zbl 1188.11015
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam
2008
Expander graphs and gaps between primes. Zbl 1171.05357
Cioabă, Sebastian M.; Murty, M. Ram
2008
Transcendental values of the digamma function. Zbl 1222.11097
Murty, M. Ram; Saradha, N.
2007
Counting integral ideals in a number field. Zbl 1129.11051
Murty, M. Ram; Van Order, Jeanine
2007
Odd values of Fourier coefficients of certain modular forms. Zbl 1197.11056
Murty, M. Ram; Murty, V. Kumar
2007
Sudoku squares and chromatic polynomials. Zbl 1156.05301
Herzberg, Agnes M.; Murty, M. Ram
2007
A simple approach for robust economic design of control charts. Zbl 1185.62202
Vommi, Vijayababu; Murty; Seetala, S. N.
2007
Pick’s theorem via Minkowski’s theorem. Zbl 1141.52008
Murty, M. Ram; Thain, Nithum
2007
Group structure of elliptic curves over finite fields and applications. Zbl 1142.11041
Murty, M. Ram; Shparlinski, Igor
2007
Representations of integers by certain positive definite binary quadratic forms. Zbl 1155.11022
Murty, M. Ram; Osburn, Robert
2007
An introduction to sieve methods and their applications. Zbl 1121.11063
Cojocaru, Alina Carmen; Murty, M. Ram
2006
Multiple Hurwitz zeta functions. Zbl 1124.11046
Murty, M. Ram; Sinha, Kaneenika
2006
Spectral estimates for abelian Cayley graphs. Zbl 1083.05024
Friedman, Joel; Murty, M. Ram; Tillich, Jean-Pierre
2006
Prime numbers in certain arithmetic progressions. Zbl 1196.11011
Murty, M. Ram; Thain, Nithum
2006
Problems in algebraic number theory. 2nd revised and expanded ed. Zbl 1055.11001
Murty, M. Ram; Esmonde, Jody
2005
The square sieve and the Lang-Trotter conjecture. Zbl 1094.11021
Cojocaru, Alina Carmen; Fouvry, Etienne; Murty, M. Ram
2005
Sieve methods in combinatorics. Zbl 1066.05003
Liu, Yu-Ru; Murty, M. Ram
2005
Quadratic reciprocity via theta functions. Zbl 1232.11005
Murty, M. Ram; Pacelli, Allison
2005
On a conjecture of Birch and Swinnerton-Dyer. Zbl 1068.11045
Kuo, Wentang; Murty, M. Ram
2005
...and 90 more Documents
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#### Cited by 1,015 Authors

 77 Murty, Maruti Ram 29 Shparlinski, Igor E. 19 Gun, Sanoli 18 Murty, Vijaya Kumar 17 Luca, Florian 12 Zaharescu, Alexandru 11 Akbary, Amir 10 Chakraborty, Kalyan 10 Chatterjee, Tapas 10 Cojocaru, Alina Carmen 10 Kaczorowski, Jerzy 10 Kohnen, Winfried 10 Perelli, Alberto 10 Wong, Peng-Jie 9 Vatwani, Akshaa 8 Meher, Jaban 8 Wong, Kok Bin 7 Kuo, Wentang 7 Liu, Yu-Ru 7 Moree, Pieter 7 Pasten, Hector V. 7 Saha, Biswajyoti 6 David, Chantal 6 Hoque, Azizul 6 Ku, Cheng Yeaw 6 Kumar, Balesh 6 Lau, Terry Shue Chien 6 Louboutin, Stéphane R. 6 Pollack, Paul 6 Sengupta, Jyoti 6 Smith, Ethan 6 Steuding, Jörn 6 Thorner, Jesse 6 Virdol, Cristian 5 Balasubramanian, Ramachandran 5 Banks, William D. 5 Cho, Ilwoo 5 Das, Soumya 5 Felix, Adam Tyler 5 James, Kevin 5 Kim, Henry H. 5 Kim, Sungjin 5 Rath, Purusottam 5 Sha, Min 5 Srinivas, Kotyada 4 Alkan, Emre 4 Bharadwaj, Abhishek T. 4 Blomer, Valentin 4 Byott, Nigel P. 4 Coppola, Giovanni 4 Dubickas, Artūras 4 Gupta, Rajiv 4 Jakhar, Anuj 4 Jørgensen, Palle E. T. 4 Kátai, Imre 4 Khanduja, Sudesh K. 4 Kumar, Narasimha 4 Lau, Yuk-Kam 4 Michel, Philippe Gabriel 4 Miller, Steven J. 4 Nagoshi, Hirofumi 4 Nakamura, Takashi 4 Ono, Ken 4 Pankowski, Łukasz 4 Pappalardi, Francesco 4 Pathak, Siddhi S. 4 Paul, Biplab 4 Pomerance, Carl Bernard 4 Rout, Sudhansu Sekhar 4 Roy, Arindam 4 Saha, Ekata 4 Sinha, Kaneenika 4 Sivaraman, Jyothsnaa 4 Tanabe, Naomi 4 Ushiroya, Noboru 4 Viswanadham, G. K. 4 Wu, Jie 4 Young, Paul Thomas 4 Zhao, Liangyi 3 Alabdali, Ali A. 3 Bump, Daniel 3 Chattopadhyay, Jaitra 3 Chen, Yenmei J. 3 Cioabă, Sebastian M. 3 Dhillon, Sonika 3 Dixit, Atul 3 Dudek, Adrian W. 3 Dutta, Utkal Keshari 3 Friedberg, Solomon 3 Ganguly, Satadal 3 Garcia, Stephan Ramon 3 Ghioca, Dragos 3 Giri, Sumit 3 Gómez, Carlos Alexis 3 Graves, Hester 3 Jones, Nathan A. 3 Kanemitsu, Shigeru 3 Khurana, Suraj Singh 3 Kim, Minsoo 3 Kuan, Yen-Liang ...and 915 more Authors
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#### Cited in 193 Serials

 152 Journal of Number Theory 57 International Journal of Number Theory 52 Proceedings of the American Mathematical Society 34 The Ramanujan Journal 24 Transactions of the American Mathematical Society 23 Mathematics of Computation 21 Functiones et Approximatio. Commentarii Mathematici 19 Acta Arithmetica 16 Research in Number Theory 15 Mathematische Annalen 15 Journal de Théorie des Nombres de Bordeaux 14 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 13 Mathematical Proceedings of the Cambridge Philosophical Society 13 Duke Mathematical Journal 13 Forum Mathematicum 12 Mathematische Zeitschrift 12 Linear Algebra and its Applications 11 Journal of Mathematical Analysis and Applications 11 Manuscripta Mathematica 11 Journal of the Ramanujan Mathematical Society 11 Bulletin of the American Mathematical Society. New Series 10 Mathematika 10 Finite Fields and their Applications 9 Bulletin of the Australian Mathematical Society 9 Advances in Mathematics 8 Indian Journal of Pure & Applied Mathematics 8 Archiv der Mathematik 8 Journal of Algebra 8 Journal of Combinatorial Theory. Series A 7 Compositio Mathematica 7 Inventiones Mathematicae 7 Integers 6 Lithuanian Mathematical Journal 6 Annales de l’Institut Fourier 6 Czechoslovak Mathematical Journal 6 Journal of Pure and Applied Algebra 6 Advances in Applied Mathematics 6 Experimental Mathematics 5 The Mathematical Intelligencer 5 Monatshefte für Mathematik 4 American Mathematical Monthly 4 Discrete Mathematics 4 Rocky Mountain Journal of Mathematics 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Acta Mathematica 4 Journal für die Reine und Angewandte Mathematik 4 Proceedings of the Japan Academy. Series A 4 European Journal of Combinatorics 4 Indagationes Mathematicae. New Series 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Algebra & Number Theory 4 Kyoto Journal of Mathematics 4 Research in the Mathematical Sciences 3 Israel Journal of Mathematics 3 Canadian Journal of Mathematics 3 Canadian Mathematical Bulletin 3 Memoirs of the American Mathematical Society 3 Michigan Mathematical Journal 3 Results in Mathematics 3 Acta Mathematica Hungarica 3 Revista Matemática Iberoamericana 3 Journal of the American Mathematical Society 3 SIAM Journal on Discrete Mathematics 3 Acta Mathematica Sinica. English Series 3 Central European Journal of Mathematics 3 Journal of Algebra and its Applications 3 S$$\vec{\text{e}}$$MA Journal 2 Communications in Algebra 2 Chaos, Solitons and Fractals 2 The Annals of Probability 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin of the London Mathematical Society 2 Glasgow Mathematical Journal 2 Journal of Combinatorial Theory. Series B 2 Nagoya Mathematical Journal 2 Pacific Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Semigroup Forum 2 Theoretical Computer Science 2 Tokyo Journal of Mathematics 2 Acta Applicandae Mathematicae 2 Graphs and Combinatorics 2 International Journal of Mathematics 2 Aequationes Mathematicae 2 Elemente der Mathematik 2 Proceedings of the National Academy of Sciences of the United States of America 2 Expositiones Mathematicae 2 Journal of Algebraic Combinatorics 2 The Electronic Journal of Combinatorics 2 The New York Journal of Mathematics 2 The Journal of Fourier Analysis and Applications 2 Dynamical Systems 2 Journal of the Australian Mathematical Society 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 JP Journal of Algebra, Number Theory and Applications 2 Complex Analysis and Operator Theory 2 Advances in Mathematics of Communications 2 Cryptography and Communications 2 Science China. Mathematics ...and 93 more Serials
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#### Cited in 49 Fields

 851 Number theory (11-XX) 85 Combinatorics (05-XX) 71 Algebraic geometry (14-XX) 36 Group theory and generalizations (20-XX) 26 Special functions (33-XX) 20 Field theory and polynomials (12-XX) 19 Topological groups, Lie groups (22-XX) 16 Information and communication theory, circuits (94-XX) 15 Functions of a complex variable (30-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Computer science (68-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Real functions (26-XX) 11 Quantum theory (81-XX) 9 Commutative algebra (13-XX) 9 Abstract harmonic analysis (43-XX) 9 Convex and discrete geometry (52-XX) 7 Probability theory and stochastic processes (60-XX) 6 Associative rings and algebras (16-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Functional analysis (46-XX) 6 Differential geometry (53-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Numerical analysis (65-XX) 4 Measure and integration (28-XX) 4 Sequences, series, summability (40-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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