Edit Profile (opens in new tab) Murty, Vijaya Kumar Co-Author Distance Author ID: murty.vijaya-kumar Published as: Murty, V. Kumar; Murty, Vijaya Kumar; Kumar Murty, Vijaya more...less Further Spellings: Murty, Vijayakumar Pedaprolu External Links: MGP · Wikidata · Google Scholar · GND · IdRef Documents Indexed: 125 Publications since 1974, including 5 Books and 2 Additional arXiv Preprints 6 Contributions as Editor Biographic References: 1 Publication Co-Authors: 68 Co-Authors with 90 Joint Publications 2,071 Co-Co-Authors all top 5 Co-Authors 40 single-authored 34 Murty, Maruti Ram 5 Blake, Ian F. 5 Eskandari, Payman 4 Akbary, Amir 4 Gun, Sanoli 4 Mourtada, Mariam 4 Xu, Guangwu 3 Lim, Meng Fai 3 Ramakrishnan, Dinakar 3 Zong, Ying 2 Patankar, Vijay M. 2 Pujahari, Sudhir 2 Scherk, John 2 Wu, Jianhong 1 Acquista, Karen 1 Asgary, Ali 1 Balasubramanian, Ramachandran 1 Bragazzi, Nicola Luigi 1 Buhler, Joe P. 1 Clausen, Dustin 1 Coates, John Henry 1 Dixit, Anup B. 1 Erdős, Pál 1 Ghioca, Dragos 1 Ginsberg, Hy 1 Gross, Benedict Hyman 1 Gupta, Rajiv 1 Heffernan, Jane Marie 1 Ihara, Yasutaka 1 Izadi, Farzali A. 1 Ji, Lizhen 1 Lapteva, Natal’ya A. 1 Lario, Joan-Carles 1 Lichtenbaum, Stephen 1 Lubin, Jonathan D. 1 Manickam, Murugesan 1 Mazur, Barry 1 McCarthy, Zachary 1 Miri, S. Ali 1 Nah, Kyeongah 1 Ogden, Nicholas H. 1 Ouyang, Yi 1 Paul, Biplab 1 Perrin-Riou, Bernadette 1 Popescu, Cristian D. 1 Prasad, Dipendra 1 Ribet, Kenneth Alan 1 Saha, Ekata 1 Sandeep, E. M. 1 Saper, Leslie 1 Saradha, N. 1 Sastry, Pramathanath 1 Scarabel, Francesca 1 Shimura, Mahoro 1 Shorey, Tarlok Nath 1 Shum, Kenneth W. 1 Silverman, Joseph Hillel 1 Sivaraman, Jyothsnaa 1 Stefanicki, Tomasz 1 Tang, Biao 1 Thangadurai, Ravindranathan 1 Uhlenbeck, Karen Keskulla 1 Usefi, Hamid 1 Volkovs, Nikolajs 1 Voloch, José Felipe 1 Waldschmidt, Michel 1 Wong, Peng-Jie 1 Xiao, Yanyu all top 5 Serials 8 Journal of Number Theory 5 Canadian Journal of Mathematics 5 International Journal of Number Theory 4 Mathematische Annalen 3 Indian Journal of Pure & Applied Mathematics 3 Proceedings of the American Mathematical Society 3 Journal of the Ramanujan Mathematical Society 2 Acta Arithmetica 2 Duke Mathematical Journal 2 Pacific Journal of Mathematics 2 Comptes Rendus Mathématiques de l’Académie des Sciences 2 Comptes Rendus de l’Académie des Sciences. Série I 2 The Asian Journal of Mathematics 2 Contemporary Mathematics 2 Fields Institute Communications 2 Advances in Mathematics of Communications 2 Research in Number Theory 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 Information Processing Letters 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 The Mathematical Intelligencer 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Annales des Sciences Mathématiques du Québec 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Functiones et Approximatio. Commentarii Mathematici 1 Inventiones Mathematicae 1 The Journal of the Indian Mathematical Society. New Series 1 Mathematische Zeitschrift 1 Hardy-Ramanujan Journal 1 Journal of Algorithms 1 Bulletin of the Iranian Mathematical Society 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Notices of the American Mathematical Society 1 Mathematical Research Letters 1 The Ramanujan Journal 1 Annals of Mathematics. Second Series 1 Moscow Mathematical Journal 1 Journal of Discrete Algorithms 1 Pure and Applied Mathematics Quarterly 1 CMS Conference Proceedings 1 CRM Monograph Series 1 Progress in Mathematics 1 Ramanujan Mathematical Society Lecture Notes Series 1 Algebra & Number Theory 1 Mathematics Newsletter 1 Journal of Mathematics in Industry 1 Modern Birkhäuser Classics all top 5 Fields 116 Number theory (11-XX) 42 Algebraic geometry (14-XX) 9 Information and communication theory, circuits (94-XX) 8 Group theory and generalizations (20-XX) 6 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Category theory; homological algebra (18-XX) 3 Topological groups, Lie groups (22-XX) 3 Biology and other natural sciences (92-XX) 2 Commutative algebra (13-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 96 Publications have been cited 771 times in 561 Documents Cited by ▼ Year ▼ Mean values of derivatives of modular \(L\)-series. Zbl 0745.11032 Murty, M. Ram; Murty, V. Kumar 55 1991 Non-vanishing of \(L\)-functions and applications. Zbl 0916.11001 Murty, M. Ram; Murty, V. Kumar 47 1997 Modular forms and the Chebotarev density theorem. Zbl 0644.10018 Murty, M. Ram; Murty, V. Kumar; Saradha, N. 44 1988 A variant of the Bombieri-Vinogradov theorem. Zbl 0619.10039 Murty, M. Ram; Murty, V. Kumar 26 1987 Effective versions of the Chebotarev density theorem for function fields. Zbl 0822.11077 Murty, Vijaya Kumar; Scherk, John 26 1994 On the logarithmic derivatives of Dirichlet \(L\)-functions at \(s=1\). Zbl 1213.11159 Ihara, Yasutaka; Murty, V. Kumar; Shimura, Mahoro 25 2009 Modular forms and the Chebotarev density theorem. II. Zbl 0988.11018 Murty, V. Kumar 24 1997 Explicit formulae and the Lang-Trotter conjecture. Zbl 0587.14009 Murty, V. Kumar 23 1985 Exceptional Hodge classes on certain abelian varieties. Zbl 0521.14004 Murty, V. Kumar 22 1984 Non-vanishing of \(L\)-functions and applications. Reprint of the 1997 edition. Zbl 1235.11086 Murty, M. Ram; Murty, V. Kumar 21 2012 Odd values of the Ramanjuan \(\tau\)-function. Zbl 0635.10020 Murty, M. Ram; Murty, V. Kumar; Shorey, T. N. 18 1987 Period relations and the Tate conjecture for Hilbert modular surfaces. Zbl 0631.14005 Murty, V. Kumar; Ramakrishnan, Dinakar 16 1987 Prime divisors of Fourier coefficients of modular forms. Zbl 0537.10026 Murty, M. Ram; Murty, V. Kumar 16 1984 Zeros of Dirichlet \(L\)-functions. Zbl 0771.11033 Balasubramanian, R.; Murty, V. Kumar 16 1992 Strong multiplicity one for Selberg’s class. Zbl 0823.11049 Murty, Maruti Ram; Murty, Vijaya Kumar 16 1994 Odd values of Fourier coefficients of certain modular forms. Zbl 1197.11056 Murty, M. Ram; Murty, V. Kumar 13 2007 An analogue of the Erdős-Kac theorem for Fourier coefficients of modular forms. Zbl 0557.10033 Murty, M. Ram; Murty, V. Kumar 13 1984 The growth of fine Selmer groups. Zbl 1425.11124 Lim, Meng Fai; Murty, V. Kumar 13 2016 A problem of Chowla revisited. Zbl 1241.11083 Murty, M. Ram; Murty, V. Kumar 12 2011 Zeros and poles of Artin L-series. Zbl 0711.11043 Foote, Richard; Murty, V. Kumar 12 1989 On groups of squarefree order. Zbl 0531.10048 Murty, M. Ram; Murty, V. Kumar 11 1984 An application of sieve methods to elliptic curves. Zbl 1011.94543 Miri, S. Ali; Murty, V. Kumar 11 2001 The least prime which does not split completely. Zbl 0834.11045 Murty, V. Kumar 10 1994 Transcendental values of class group \(L\)-functions. Zbl 1281.11071 Murty, M. Ram; Murty, V. Kumar 9 2011 The Euler-Kronecker constant of a cyclotomic field. Zbl 1259.11105 Murty, V. Kumar 9 2011 Algebraic cycles of abelian varieties. Zbl 0521.14002 Murty, V. Kumar 8 1983 Tate cycles on a product of two Hilbert modular surfaces. Zbl 0955.14016 Murty, V. Kumar; Prasad, Dipendra 8 2000 Class numbers of CM-fields with solvable normal closure. Zbl 1116.11091 Murty, V. Kumar 8 2001 A note on window \(\tau\)-NAF algorithm. Zbl 1182.94037 Blake, Ian F.; Murty, V. Kumar; Xu, Guangwu 8 2005 The Euclidean algorithm for \(S\)-integers. Zbl 0618.12006 Gupta, Rajiv; Murty, M. Ram; Murty, V. Kumar 8 1987 The mathematical legacy of Srinivasa Ramanujan. Zbl 1277.01002 Murty, M. Ram; Murty, V. Kumar 8 2013 An analogue of the Siegel-Walfisz theorem for the cyclicity of CM elliptic curves mod \(p\). Zbl 1205.11061 Akbary, Amir; Murty, V. Kumar 8 2010 Bounded and finite generation of arithmetic groups. Zbl 0851.11026 Murty, V. Kumar 7 1995 Reductions of points on elliptic curves. Zbl 1262.11071 Akbary, Amir; Ghioca, Dragos; Murty, V. Kumar 7 2010 Refinements of Miller’s algorithm for computing the Weil/Tate pairing. Zbl 1093.68037 Blake, Ian F.; Murty, V. Kumar; Xu, Guangwu 7 2006 Nonadjacent radix-\(\tau\) expansions of integers in Euclidean imaginary quadratic number fields. Zbl 1228.11160 Blake, Ian F.; Murty, V. Kumar; Xu, Guangwu 7 2008 Distribution of values of \(L'/L(\sigma,\chi_D)\). Zbl 1382.11058 Mourtada, Mariam; Murty, V. Kumar 7 2015 Splitting of abelian varieties. Zbl 1152.14043 Murty, V. Kumar; Patankar, Vijay M. 7 2008 Omega theorems for \(\frac {L'}{L} (1,\chi_D)\). Zbl 1335.11072 Mourtada, M.; Murty, V. Kumar 7 2013 The Manin-Drinfeld theorem and Ramanujan sums. Zbl 0671.14013 Murty, V. Kumar; Ramakrishnan, Dinakar 6 1987 Introduction to abelian varieties. Zbl 0779.14013 Murty, V. Kumar 6 1993 Growth of Selmer groups of CM abelian varieties. Zbl 1394.11052 Lim, Meng Fai; Murty, V. Kumar 6 2015 The Sato-Tate conjecture and generalizations. Zbl 1223.11071 Murty, M. Ram; Murty, V. Kumar 5 2010 Efficient algorithms for Koblitz curves over fields of characteristic three. Zbl 1070.11056 Blake, Ian F.; Murty, V. Kumar; Xu, Guangwu 5 2005 Base change and the Birch-Swinnerton-Dyer conjecture. Zbl 0829.11032 Murty, M. Ram; Murty, V. Kumar 5 1993 Linear and algebraic independence of generalized Euler-briggs constants. Zbl 1415.11100 Gun, Sanoli; Murty, V. Kumar; Saha, Ekata 5 2016 A variant of Lehmer’s conjecture. Zbl 1106.11015 Murty, V. Kumar 4 2007 A variant of Lehmer’s conjecture. II: The CM-case. Zbl 1278.11050 Gun, Sanoli; Murty, V. Kumar 4 2011 Frobenius distributions and Galois representations. Zbl 1003.11021 Murty, V. Kumar 4 1999 Hodge and Weil classes on abelian varieties. Zbl 1028.14016 Murty, V. Kumar 4 2000 Stark zeros in certain towers of fields. Zbl 0990.11069 Murty, V. Kumar 4 1999 The Lindelöf class of \(L\)-functions. Zbl 1151.11345 Murty, Vijaya Kumar 4 2007 On a problem of Ruderman. Zbl 1264.11059 Murty, M. Ram; Murty, V. Kumar 4 2011 On the enumeration of finite groups. Zbl 0612.10038 Erdős, Paul; Murty, M. Ram; Murty, V. Kumar 4 1987 Computing the Hodge group of an abelian variety. Zbl 0761.14014 Murty, V. Kumar 4 1990 The Albanese of unitary Shimura varieties. Zbl 0828.14013 Murty, V. Kumar; Ramakrishnan, Dinakar 4 1992 Reduction mod \(p\) of subgroups of the Mordell-Weil group of an elliptic curve. Zbl 1188.11032 Akbary, Amir; Murty, V. Kumar 4 2009 On the Euler Kronecker constant of a cyclotomic field. II. Zbl 1391.11122 Mourtada, Mariam; Murty, V. Kumar 4 2015 Lacunarity of modular forms. Zbl 0673.10020 Murty, V. Kumar 3 1987 On the Sato-Tate conjecture. Zbl 0526.14011 Murty, V. Kumar 3 1982 On the number of groups of a given order. Zbl 0531.10047 Murty, M. Ram; Murty, V. Kumar 3 1984 The growth of Selmer ranks of an abelian variety with complex multiplication. Zbl 1140.11032 Murty, V. Kumar; Ouyang, Yi 3 2006 Tate cycles on abelian varieties with complex multiplication. Zbl 1312.11050 Murty, V. Kumar; Patankar, Vijay M. 3 2015 Heilbronn characters. Zbl 1326.20007 Foote, Richard; Ginsberg, Hy; Murty, Vijaya Kumar 3 2015 The Lindelöf class of \(L\)-functions. II. Zbl 1459.11175 Dixit, Anup B.; Murty, V. Kumar 3 2019 The Chebotarev density theorem and the pair correlation conjecture. Zbl 1425.11148 Murty, M. Ram; Murty, V. Kumar; Wong, Peng-Jie 3 2018 Transcendental values of class group \(L\)-functions. II. Zbl 1282.11082 Murty, M. Ram; Murty, V. Kumar 3 2012 Quantifying the shift in social contact patterns in response to non-pharmaceutical interventions. Zbl 1469.92119 McCarthy, Zachary; Xiao, Yanyu; Scarabel, Francesca; Tang, Biao; Bragazzi, Nicola Luigi; Nah, Kyeongah; Heffernan, Jane M.; Asgary, Ali; Murty, V. Kumar; Ogden, Nicholas H.; Wu, Jianhong 3 2020 Seminar on Fermat’s last theorem. The Fields Institute for Research in Mathematical Sciences, 1993-1994, Toronto, Ontario, Canada. Proceedings. Zbl 0828.00033 2 1995 The least prime in a conjugacy class. Zbl 1029.11058 Murty, V. Kumar 2 2000 Some results in number theory. I. Zbl 0346.10025 Murty, M. Ram; Murty, V. Kumar 2 1979 Non-vanishing of \(L\)-functions and their derivatives. Zbl 0745.11033 Murty, V. Kumar 2 1990 Elliptic minuscule pairs and splitting abelian varieties. Zbl 1469.14094 Murty, V. Kumar; Zong, Ying 2 2017 Fourier coefficients of forms of CM-type. Zbl 1357.11050 Laptyeva, N.; Murty, V. Kumar 2 2014 Splitting of abelian varieties. Zbl 1364.11111 Murty, V. Kumar; Zong, Ying 2 2014 Some remarks on automorphy and the Sato-Tate conjecture. Zbl 1397.11119 Murty, M. Ram; Murty, V. Kumar 2 2015 The addition law on hyperelliptic Jacobians. Zbl 1092.14508 Murty, V. Kumar 2 2002 On the Sato-Tate conjecture. II. Zbl 1283.11094 Murty, V. Kumar 2 2011 The fundamental group of reductive Borel-Serre and Satake compactifications. Zbl 1329.20063 Ji, Lizhen; Murty, V. Kumar; Saper, Leslie; Scherk, John 2 2015 On the normal number of prime factors of sums of Fourier coefficients of eigenforms. Zbl 1492.11089 Murty, M. Ram; Murty, V. Kumar; Pujahari, Sudhir 2 2022 On the harmonic volume of Fermat curves. Zbl 1471.14019 Eskandari, Payman; Murty, V. Kumar 2 2021 The growth of the Selmer group of an elliptic curve with split multiplicative reduction. Zbl 1295.11062 Lim, Meng Fai; Murty, V. Kumar 2 2014 On the density of various classes of groups. Zbl 0516.10040 Murty, M. Ram; Murty, V. Kumar 1 1983 A variant of the Lang-Trotter conjecture. Zbl 1276.11159 Murty, M. Ram; Murty, V. Kumar 1 2012 Arithmetic twists and abelian extensions. Zbl 1440.11055 Murty, V. Kumar 1 2018 Holomorphy of Artin \(L\)-functions. Zbl 0699.12021 Murty, V. Kumar 1 1988 Counting points on an Abelian variety over a finite field. Zbl 1123.11302 Izadi, Farzali A.; Murty, V. Kumar 1 2003 ERINDALE: a polynomial based hashing algorithm. Zbl 1248.94084 Murty, V. Kumar; Volkovs, Nikolajs 1 2009 Highly composite: papers in number theory. On the occasion of R. Balsubramanian’s 60th birth anniversary. Including papers from the international meeting on number theory, Harish-Chandra Research Institute, Allahabad, India, December 15–20, 2011. Zbl 1382.11006 1 2016 Splitting of primes in infinite extensions. Zbl 1195.11150 Murty, V. Kumar 1 2002 Explicit arithmetic on abelian varieties. Zbl 1475.14087 Murty, V. Kumar; Sastry, Pramathanath 1 2018 Counting Hecke eigenforms with nonvanishing \(L\)-value. Zbl 1505.11078 Manickam, M.; Murty, V. Kumar; Sandeep, E. M. 1 2022 A variant of the Hardy-Ramanujan theorem. Zbl 1489.11143 Murty, M. Ram; Murty, V. Kumar 1 2021 On Ceresa cycles of Fermat curves. Zbl 1481.11060 Eskandari, Payman; Murty, V. Kumar 1 2021 On unipotent radicals of motivic Galois groups. Zbl 1516.14047 Eskandari, Payman; Murty, V. Kumar 1 2023 Mathematics of public health. Proceedings of the seminar on the mathematical modelling of COVID-19, March 2020 – June 2021. Zbl 1478.92007 1 2022 On unipotent radicals of motivic Galois groups. Zbl 1516.14047 Eskandari, Payman; Murty, V. Kumar 1 2023 On the normal number of prime factors of sums of Fourier coefficients of eigenforms. Zbl 1492.11089 Murty, M. Ram; Murty, V. Kumar; Pujahari, Sudhir 2 2022 Counting Hecke eigenforms with nonvanishing \(L\)-value. Zbl 1505.11078 Manickam, M.; Murty, V. Kumar; Sandeep, E. M. 1 2022 Mathematics of public health. Proceedings of the seminar on the mathematical modelling of COVID-19, March 2020 – June 2021. Zbl 1478.92007 1 2022 On the harmonic volume of Fermat curves. Zbl 1471.14019 Eskandari, Payman; Murty, V. Kumar 2 2021 A variant of the Hardy-Ramanujan theorem. Zbl 1489.11143 Murty, M. Ram; Murty, V. Kumar 1 2021 On Ceresa cycles of Fermat curves. Zbl 1481.11060 Eskandari, Payman; Murty, V. Kumar 1 2021 Quantifying the shift in social contact patterns in response to non-pharmaceutical interventions. Zbl 1469.92119 McCarthy, Zachary; Xiao, Yanyu; Scarabel, Francesca; Tang, Biao; Bragazzi, Nicola Luigi; Nah, Kyeongah; Heffernan, Jane M.; Asgary, Ali; Murty, V. Kumar; Ogden, Nicholas H.; Wu, Jianhong 3 2020 The Lindelöf class of \(L\)-functions. II. Zbl 1459.11175 Dixit, Anup B.; Murty, V. Kumar 3 2019 The Chebotarev density theorem and the pair correlation conjecture. Zbl 1425.11148 Murty, M. Ram; Murty, V. Kumar; Wong, Peng-Jie 3 2018 Arithmetic twists and abelian extensions. Zbl 1440.11055 Murty, V. Kumar 1 2018 Explicit arithmetic on abelian varieties. Zbl 1475.14087 Murty, V. Kumar; Sastry, Pramathanath 1 2018 Elliptic minuscule pairs and splitting abelian varieties. Zbl 1469.14094 Murty, V. Kumar; Zong, Ying 2 2017 The growth of fine Selmer groups. Zbl 1425.11124 Lim, Meng Fai; Murty, V. Kumar 13 2016 Linear and algebraic independence of generalized Euler-briggs constants. Zbl 1415.11100 Gun, Sanoli; Murty, V. Kumar; Saha, Ekata 5 2016 Highly composite: papers in number theory. On the occasion of R. Balsubramanian’s 60th birth anniversary. Including papers from the international meeting on number theory, Harish-Chandra Research Institute, Allahabad, India, December 15–20, 2011. Zbl 1382.11006 1 2016 Distribution of values of \(L'/L(\sigma,\chi_D)\). Zbl 1382.11058 Mourtada, Mariam; Murty, V. Kumar 7 2015 Growth of Selmer groups of CM abelian varieties. Zbl 1394.11052 Lim, Meng Fai; Murty, V. Kumar 6 2015 On the Euler Kronecker constant of a cyclotomic field. II. Zbl 1391.11122 Mourtada, Mariam; Murty, V. Kumar 4 2015 Tate cycles on abelian varieties with complex multiplication. Zbl 1312.11050 Murty, V. Kumar; Patankar, Vijay M. 3 2015 Heilbronn characters. Zbl 1326.20007 Foote, Richard; Ginsberg, Hy; Murty, Vijaya Kumar 3 2015 Some remarks on automorphy and the Sato-Tate conjecture. Zbl 1397.11119 Murty, M. Ram; Murty, V. Kumar 2 2015 The fundamental group of reductive Borel-Serre and Satake compactifications. Zbl 1329.20063 Ji, Lizhen; Murty, V. Kumar; Saper, Leslie; Scherk, John 2 2015 Fourier coefficients of forms of CM-type. Zbl 1357.11050 Laptyeva, N.; Murty, V. Kumar 2 2014 Splitting of abelian varieties. Zbl 1364.11111 Murty, V. Kumar; Zong, Ying 2 2014 The growth of the Selmer group of an elliptic curve with split multiplicative reduction. Zbl 1295.11062 Lim, Meng Fai; Murty, V. Kumar 2 2014 The mathematical legacy of Srinivasa Ramanujan. Zbl 1277.01002 Murty, M. Ram; Murty, V. Kumar 8 2013 Omega theorems for \(\frac {L'}{L} (1,\chi_D)\). Zbl 1335.11072 Mourtada, M.; Murty, V. Kumar 7 2013 Non-vanishing of \(L\)-functions and applications. Reprint of the 1997 edition. Zbl 1235.11086 Murty, M. Ram; Murty, V. Kumar 21 2012 Transcendental values of class group \(L\)-functions. II. Zbl 1282.11082 Murty, M. Ram; Murty, V. Kumar 3 2012 A variant of the Lang-Trotter conjecture. Zbl 1276.11159 Murty, M. Ram; Murty, V. Kumar 1 2012 A problem of Chowla revisited. Zbl 1241.11083 Murty, M. Ram; Murty, V. Kumar 12 2011 Transcendental values of class group \(L\)-functions. Zbl 1281.11071 Murty, M. Ram; Murty, V. Kumar 9 2011 The Euler-Kronecker constant of a cyclotomic field. Zbl 1259.11105 Murty, V. Kumar 9 2011 A variant of Lehmer’s conjecture. II: The CM-case. Zbl 1278.11050 Gun, Sanoli; Murty, V. Kumar 4 2011 On a problem of Ruderman. Zbl 1264.11059 Murty, M. Ram; Murty, V. Kumar 4 2011 On the Sato-Tate conjecture. II. Zbl 1283.11094 Murty, V. Kumar 2 2011 An analogue of the Siegel-Walfisz theorem for the cyclicity of CM elliptic curves mod \(p\). Zbl 1205.11061 Akbary, Amir; Murty, V. Kumar 8 2010 Reductions of points on elliptic curves. Zbl 1262.11071 Akbary, Amir; Ghioca, Dragos; Murty, V. Kumar 7 2010 The Sato-Tate conjecture and generalizations. Zbl 1223.11071 Murty, M. Ram; Murty, V. Kumar 5 2010 On the logarithmic derivatives of Dirichlet \(L\)-functions at \(s=1\). Zbl 1213.11159 Ihara, Yasutaka; Murty, V. Kumar; Shimura, Mahoro 25 2009 Reduction mod \(p\) of subgroups of the Mordell-Weil group of an elliptic curve. Zbl 1188.11032 Akbary, Amir; Murty, V. Kumar 4 2009 ERINDALE: a polynomial based hashing algorithm. Zbl 1248.94084 Murty, V. Kumar; Volkovs, Nikolajs 1 2009 Nonadjacent radix-\(\tau\) expansions of integers in Euclidean imaginary quadratic number fields. Zbl 1228.11160 Blake, Ian F.; Murty, V. Kumar; Xu, Guangwu 7 2008 Splitting of abelian varieties. Zbl 1152.14043 Murty, V. Kumar; Patankar, Vijay M. 7 2008 Odd values of Fourier coefficients of certain modular forms. Zbl 1197.11056 Murty, M. Ram; Murty, V. Kumar 13 2007 A variant of Lehmer’s conjecture. Zbl 1106.11015 Murty, V. Kumar 4 2007 The Lindelöf class of \(L\)-functions. Zbl 1151.11345 Murty, Vijaya Kumar 4 2007 Refinements of Miller’s algorithm for computing the Weil/Tate pairing. Zbl 1093.68037 Blake, Ian F.; Murty, V. Kumar; Xu, Guangwu 7 2006 The growth of Selmer ranks of an abelian variety with complex multiplication. Zbl 1140.11032 Murty, V. Kumar; Ouyang, Yi 3 2006 A note on window \(\tau\)-NAF algorithm. Zbl 1182.94037 Blake, Ian F.; Murty, V. Kumar; Xu, Guangwu 8 2005 Efficient algorithms for Koblitz curves over fields of characteristic three. Zbl 1070.11056 Blake, Ian F.; Murty, V. Kumar; Xu, Guangwu 5 2005 Counting points on an Abelian variety over a finite field. Zbl 1123.11302 Izadi, Farzali A.; Murty, V. Kumar 1 2003 The addition law on hyperelliptic Jacobians. Zbl 1092.14508 Murty, V. Kumar 2 2002 Splitting of primes in infinite extensions. Zbl 1195.11150 Murty, V. Kumar 1 2002 An application of sieve methods to elliptic curves. Zbl 1011.94543 Miri, S. Ali; Murty, V. Kumar 11 2001 Class numbers of CM-fields with solvable normal closure. Zbl 1116.11091 Murty, V. Kumar 8 2001 Tate cycles on a product of two Hilbert modular surfaces. Zbl 0955.14016 Murty, V. Kumar; Prasad, Dipendra 8 2000 Hodge and Weil classes on abelian varieties. Zbl 1028.14016 Murty, V. Kumar 4 2000 The least prime in a conjugacy class. Zbl 1029.11058 Murty, V. Kumar 2 2000 Frobenius distributions and Galois representations. Zbl 1003.11021 Murty, V. Kumar 4 1999 Stark zeros in certain towers of fields. Zbl 0990.11069 Murty, V. Kumar 4 1999 Non-vanishing of \(L\)-functions and applications. Zbl 0916.11001 Murty, M. Ram; Murty, V. Kumar 47 1997 Modular forms and the Chebotarev density theorem. II. Zbl 0988.11018 Murty, V. Kumar 24 1997 Bounded and finite generation of arithmetic groups. Zbl 0851.11026 Murty, V. Kumar 7 1995 Seminar on Fermat’s last theorem. The Fields Institute for Research in Mathematical Sciences, 1993-1994, Toronto, Ontario, Canada. Proceedings. Zbl 0828.00033 2 1995 Effective versions of the Chebotarev density theorem for function fields. Zbl 0822.11077 Murty, Vijaya Kumar; Scherk, John 26 1994 Strong multiplicity one for Selberg’s class. Zbl 0823.11049 Murty, Maruti Ram; Murty, Vijaya Kumar 16 1994 The least prime which does not split completely. Zbl 0834.11045 Murty, V. Kumar 10 1994 Introduction to abelian varieties. Zbl 0779.14013 Murty, V. Kumar 6 1993 Base change and the Birch-Swinnerton-Dyer conjecture. Zbl 0829.11032 Murty, M. Ram; Murty, V. Kumar 5 1993 Zeros of Dirichlet \(L\)-functions. Zbl 0771.11033 Balasubramanian, R.; Murty, V. Kumar 16 1992 The Albanese of unitary Shimura varieties. Zbl 0828.14013 Murty, V. Kumar; Ramakrishnan, Dinakar 4 1992 Mean values of derivatives of modular \(L\)-series. Zbl 0745.11032 Murty, M. Ram; Murty, V. Kumar 55 1991 Computing the Hodge group of an abelian variety. Zbl 0761.14014 Murty, V. Kumar 4 1990 Non-vanishing of \(L\)-functions and their derivatives. Zbl 0745.11033 Murty, V. Kumar 2 1990 Zeros and poles of Artin L-series. Zbl 0711.11043 Foote, Richard; Murty, V. Kumar 12 1989 Modular forms and the Chebotarev density theorem. Zbl 0644.10018 Murty, M. Ram; Murty, V. Kumar; Saradha, N. 44 1988 Holomorphy of Artin \(L\)-functions. Zbl 0699.12021 Murty, V. Kumar 1 1988 A variant of the Bombieri-Vinogradov theorem. Zbl 0619.10039 Murty, M. Ram; Murty, V. Kumar 26 1987 Odd values of the Ramanjuan \(\tau\)-function. Zbl 0635.10020 Murty, M. Ram; Murty, V. Kumar; Shorey, T. N. 18 1987 Period relations and the Tate conjecture for Hilbert modular surfaces. Zbl 0631.14005 Murty, V. Kumar; Ramakrishnan, Dinakar 16 1987 The Euclidean algorithm for \(S\)-integers. Zbl 0618.12006 Gupta, Rajiv; Murty, M. Ram; Murty, V. Kumar 8 1987 The Manin-Drinfeld theorem and Ramanujan sums. Zbl 0671.14013 Murty, V. Kumar; Ramakrishnan, Dinakar 6 1987 On the enumeration of finite groups. Zbl 0612.10038 Erdős, Paul; Murty, M. Ram; Murty, V. Kumar 4 1987 Lacunarity of modular forms. Zbl 0673.10020 Murty, V. Kumar 3 1987 Explicit formulae and the Lang-Trotter conjecture. Zbl 0587.14009 Murty, V. Kumar 23 1985 Exceptional Hodge classes on certain abelian varieties. Zbl 0521.14004 Murty, V. Kumar 22 1984 Prime divisors of Fourier coefficients of modular forms. Zbl 0537.10026 Murty, M. Ram; Murty, V. Kumar 16 1984 An analogue of the Erdős-Kac theorem for Fourier coefficients of modular forms. Zbl 0557.10033 Murty, M. Ram; Murty, V. Kumar 13 1984 On groups of squarefree order. Zbl 0531.10048 Murty, M. Ram; Murty, V. Kumar 11 1984 On the number of groups of a given order. Zbl 0531.10047 Murty, M. Ram; Murty, V. Kumar 3 1984 Algebraic cycles of abelian varieties. Zbl 0521.14002 Murty, V. Kumar 8 1983 On the density of various classes of groups. Zbl 0516.10040 Murty, M. Ram; Murty, V. Kumar 1 1983 On the Sato-Tate conjecture. Zbl 0526.14011 Murty, V. Kumar 3 1982 Some results in number theory. I. Zbl 0346.10025 Murty, M. Ram; Murty, V. Kumar 2 1979 all cited Publications top 5 cited Publications all top 5 Cited by 627 Authors 33 Murty, Maruti Ram 30 Murty, Vijaya Kumar 12 Gun, Sanoli 12 Wong, Peng-Jie 11 Cojocaru, Alina Carmen 10 Akbary, Amir 10 Thorner, Jesse 8 Kundu, Debanjana 8 Virdol, Cristian 7 Vatwani, Akshaa 6 Lim, Meng Fai 6 Ray, Anwesh 6 Zaman, Asif 5 Dixit, Anup B. 5 Heuberger, Clemens 5 Kuo, Wentang 5 Louboutin, Stéphane R. 5 Matsumoto, Kohji 5 Pollack, Paul 5 Shparlinski, Igor E. 5 Steuding, Jörn 4 Bharadwaj, Abhishek T. 4 Byott, Nigel P. 4 Chatterjee, Tapas 4 Cho, Peter Jaehyun 4 Kaczorowski, Jerzy 4 Kandhil, Neelam 4 Kim, Henry H. 4 Kohnen, Winfried 4 Krenn, Daniel 4 Kumar, Narasimha 4 Languasco, Alessandro 4 Li, Baoqin 4 Luca, Florian 4 Ono, Ken 4 Pasten, Hector V. 4 Prabhu, Neha 4 Wu, Jie 3 Abdulali, Salman 3 Alabdali, Ali A. 3 Baier, Stephan 3 Balakrishnan, Jennifer S. 3 Blomer, Valentin 3 Bump, Daniel 3 Das, Soumya 3 David, Chantal 3 Felix, Adam Tyler 3 Ganguly, Satadal 3 Ghioca, Dragos 3 Hamieh, Alia 3 Khurana, Suraj Singh 3 Kleine, Sören 3 Kumar, Balesh 3 Kumari, Moni 3 Liu, Yu-Ru 3 Longo, Matteo 3 Milinovich, Micah B. 3 Moree, Pieter 3 Munsch, Marc 3 Pathak, Siddhi S. 3 Paul, Biplab 3 Perelli, Alberto 3 Pujahari, Sudhir 3 Rath, Purusottam 3 Rouse, Jeremy A. 3 Saha, Ekata 3 Schoen, Chad 3 Sinha, Kaneenika 3 Stein, William A. 3 Ramdorai, Sujatha 3 Yu, Wei 2 Achter, Jeffrey D. 2 Amir, Malik 2 Bertolini, Massimo 2 Brumley, Farrell 2 Bui, Hung Manh 2 Campagna, Francesco 2 Cantoral-Farfán, Victoria 2 Chirre, Andrés 2 Coates, John Henry 2 Craig, William 2 Darmon, Henri René 2 Diem, Claus 2 Dietrich, Heiko 2 Dokchitser, Tim 2 Dokchitser, Vladimir 2 Erdős, Pál 2 Eskandari, Payman 2 Fité, Francesc 2 Florea, Alexandra M. 2 Friedberg, Solomon 2 Gao, Peng 2 Ginsberg, Hy 2 Goeleven, Daniel 2 Goldfeld, Dorian Morris 2 Goodson, Heidi 2 Guitart, Xavier 2 Hoffstein, Jeffrey 2 Hu, Daniel 2 Hui, Chun Yin ...and 527 more Authors all top 5 Cited in 118 Serials 89 Journal of Number Theory 38 International Journal of Number Theory 28 Proceedings of the American Mathematical Society 20 Transactions of the American Mathematical Society 16 Acta Arithmetica 16 The Ramanujan Journal 13 Mathematische Annalen 13 Journal of the Ramanujan Mathematical Society 12 Journal de Théorie des Nombres de Bordeaux 11 Compositio Mathematica 11 Inventiones Mathematicae 10 Mathematische Zeitschrift 10 Forum Mathematicum 10 Research in Number Theory 9 Duke Mathematical Journal 9 Functiones et Approximatio. Commentarii Mathematici 8 Mathematika 8 Algebra & Number Theory 7 Mathematics of Computation 7 Advances in Mathematics 7 Annales de l’Institut Fourier 7 Finite Fields and their Applications 6 Journal of Algebra 6 Bulletin of the American Mathematical Society. New Series 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Archiv der Mathematik 5 Research in the Mathematical Sciences 4 Bulletin of the Australian Mathematical Society 4 Journal of Mathematical Analysis and Applications 4 Canadian Mathematical Bulletin 4 Journal of the London Mathematical Society. Second Series 4 Journal of Pure and Applied Algebra 4 Pacific Journal of Mathematics 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Bulletin of the London Mathematical Society 3 Canadian Journal of Mathematics 3 Czechoslovak Mathematical Journal 3 Journal für die Reine und Angewandte Mathematik 3 Manuscripta Mathematica 3 Acta Mathematica Hungarica 3 International Journal of Mathematics 3 Documenta Mathematica 3 Integers 3 Science China. Mathematics 3 Kyoto Journal of Mathematics 3 Annales Mathématiques du Québec 2 Communications in Algebra 2 Lithuanian Mathematical Journal 2 The Mathematical Intelligencer 2 Acta Mathematica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Publications Mathématiques 2 Monatshefte für Mathematik 2 Proceedings of the London Mathematical Society. Third Series 2 Theoretical Computer Science 2 Tôhoku Mathematical Journal. Second Series 2 Tokyo Journal of Mathematics 2 Applicable Algebra in Engineering, Communication and Computing 2 Experimental Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 Milan Journal of Mathematics 2 Advances in Mathematics of Communications 1 International Journal of Modern Physics A 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Mathematical Biosciences 1 Rocky Mountain Journal of Mathematics 1 Applied Mathematics and Computation 1 Glasgow Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Journal of Cryptology 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Japan Journal of Industrial and Applied Mathematics 1 IMRN. International Mathematics Research Notices 1 Designs, Codes and Cryptography 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Geometric and Functional Analysis. GAFA 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Expositiones Mathematicae 1 Mathematical Programming. Series A. Series B 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Sciences (New York) 1 Kyushu Journal of Mathematics 1 Transformation Groups 1 Journal of Group Theory 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series ...and 18 more Serials all top 5 Cited in 35 Fields 505 Number theory (11-XX) 121 Algebraic geometry (14-XX) 38 Group theory and generalizations (20-XX) 19 Information and communication theory, circuits (94-XX) 9 Associative rings and algebras (16-XX) 8 Field theory and polynomials (12-XX) 8 Topological groups, Lie groups (22-XX) 7 Functions of a complex variable (30-XX) 5 Combinatorics (05-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 History and biography (01-XX) 4 Commutative algebra (13-XX) 4 Biology and other natural sciences (92-XX) 3 Several complex variables and analytic spaces (32-XX) 2 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-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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