Murty, M. Ram On Hasse’s inequality. (English) Zbl 07712228 Expo. Math. 41, No. 2, 451-460 (2023). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11G05 11L40 11T24 PDFBibTeX XMLCite \textit{M. R. Murty}, Expo. Math. 41, No. 2, 451--460 (2023; Zbl 07712228) Full Text: DOI
Kim, Seoyoung; Murty, M. Ram From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture. (English) Zbl 1523.11115 Math. Comput. 92, No. 339, 385-408 (2023). Reviewer: Asvin G (Madison) MSC: 11G40 14G10 14D10 14H52 PDFBibTeX XMLCite \textit{S. Kim} and \textit{M. R. Murty}, Math. Comput. 92, No. 339, 385--408 (2023; Zbl 1523.11115) Full Text: DOI arXiv
Dixit, Anup B.; Kim, Seoyoung; Murty, M. Ram Generalized Diophantine \(m\)-tuples. (English) Zbl 1489.11050 Proc. Am. Math. Soc. 150, No. 4, 1455-1465 (2022). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11D45 11D72 11N36 PDFBibTeX XMLCite \textit{A. B. Dixit} et al., Proc. Am. Math. Soc. 150, No. 4, 1455--1465 (2022; Zbl 1489.11050) Full Text: DOI
Murty, M. Ram; Séguin, François Prime divisors of sparse values of cyclotomic polynomials and Wieferich primes. (English) Zbl 1473.11041 J. Number Theory 201, 1-22 (2019). MSC: 11B39 11A51 11C08 PDFBibTeX XMLCite \textit{M. R. Murty} and \textit{F. Séguin}, J. Number Theory 201, 1--22 (2019; Zbl 1473.11041) Full Text: DOI Link
Murty, M. Ram; Séguin, François; Stewart, Cameron L. A lower bound for the two-variable Artin conjecture and prime divisors of recurrence sequences. (English) Zbl 1437.11141 J. Number Theory 194, 8-29 (2019). Reviewer: Florian Luca (Johannesburg) MSC: 11N69 11B37 11D59 PDFBibTeX XMLCite \textit{M. R. Murty} et al., J. Number Theory 194, 8--29 (2019; Zbl 1437.11141) Full Text: DOI arXiv Link
Murty, M. Ram; Vatwani, Akshaa A remark on the Lang-Trotter and Artin conjectures. (English) Zbl 1431.11111 Proc. Am. Math. Soc. 146, No. 8, 3191-3202 (2018). MSC: 11N36 11G05 11N05 11N35 11R47 PDFBibTeX XMLCite \textit{M. R. Murty} and \textit{A. Vatwani}, Proc. Am. Math. Soc. 146, No. 8, 3191--3202 (2018; Zbl 1431.11111) Full Text: DOI
Murty, M. Ram; Tanabe, Naomi On the nature of \(e^{\gamma}\) and non-vanishing of derivatives of \(L\)-series at \(s=1/2\). (English) Zbl 1400.11116 J. Number Theory 161, 444-456 (2016). MSC: 11J81 11J91 11M41 PDFBibTeX XMLCite \textit{M. R. Murty} and \textit{N. Tanabe}, J. Number Theory 161, 444--456 (2016; Zbl 1400.11116) Full Text: DOI
Murty, M. Ram; Pasten, Hector Modular forms and effective Diophantine approximation. (English) Zbl 1297.11022 J. Number Theory 133, No. 11, 3739-3754 (2013). MSC: 11F11 11D75 11G05 PDFBibTeX XMLCite \textit{M. R. Murty} and \textit{H. Pasten}, J. Number Theory 133, No. 11, 3739--3754 (2013; Zbl 1297.11022) Full Text: DOI
Felix, Adam Tyler; Murty, M. Ram On a conjecture of Erdős. (English) Zbl 1309.11068 Mathematika 58, No. 2, 275-289 (2012). MSC: 11N37 11A07 11R47 PDFBibTeX XMLCite \textit{A. T. Felix} and \textit{M. R. Murty}, Mathematika 58, No. 2, 275--289 (2012; Zbl 1309.11068) Full Text: DOI
Miller, Steven J.; Murty, M. Ram Effective equidistribution and the Sato-Tate law for families of elliptic curves. (English) Zbl 1207.11062 J. Number Theory 131, No. 1, 25-44 (2011). Reviewer: Andrea Bandini (Pisa) MSC: 11G05 11K38 14H52 11M41 PDFBibTeX XMLCite \textit{S. J. Miller} and \textit{M. R. Murty}, J. Number Theory 131, No. 1, 25--44 (2011; Zbl 1207.11062) Full Text: DOI arXiv
Murty, M. Ram; Sinha, Kaneenika Effective equidistribution of eigenvalues of Hecke operators. (English) Zbl 1234.11055 J. Number Theory 129, No. 3, 681-714 (2009). Reviewer: Günter Köhler (Würzburg) MSC: 11F25 11N75 11K06 PDFBibTeX XMLCite \textit{M. R. Murty} and \textit{K. Sinha}, J. Number Theory 129, No. 3, 681--714 (2009; Zbl 1234.11055) Full Text: DOI
Lee, Jung-Jo; Murty, M. Ram Dirichlet series and hyperelliptic curves. (English) Zbl 1183.11034 Forum Math. 19, No. 4, 677-705 (2007). MSC: 11G30 11G40 PDFBibTeX XMLCite \textit{J.-J. Lee} and \textit{M. R. Murty}, Forum Math. 19, No. 4, 677--705 (2007; Zbl 1183.11034) Full Text: DOI
Cojocaru, Alina Carmen; Murty, M. Ram Cyclicity of elliptic curves modulo \(p\) and elliptic curve analogues of Linnik’s problem. (English) Zbl 1087.11037 Math. Ann. 330, No. 3, 601-625 (2004). Reviewer: Paul Gunnells (Amherst) MSC: 11G05 11N36 11R45 PDFBibTeX XMLCite \textit{A. C. Cojocaru} and \textit{M. R. Murty}, Math. Ann. 330, No. 3, 601--625 (2004; Zbl 1087.11037) Full Text: DOI
Lee, Jung-Jo; Murty, M. Ram An application of Mumford’s gap principle. (English) Zbl 1048.11050 J. Number Theory 105, No. 2, 333-343 (2004). Reviewer: Robert F. Lax (Baton Rouge) MSC: 11G30 11G05 11G50 14G05 PDFBibTeX XMLCite \textit{J.-J. Lee} and \textit{M. R. Murty}, J. Number Theory 105, No. 2, 333--343 (2004; Zbl 1048.11050) Full Text: DOI
Gupta, Rajiv; Murty, M. Ram Cyclicity and generation of points mod \(p\) on elliptic curves. (English) Zbl 0731.14011 Invent. Math. 101, No. 1, 225-235 (1990). Reviewer: J. A. Antoniadis (Iraklion) MSC: 14G05 11G05 11N36 PDFBibTeX XMLCite \textit{R. Gupta} and \textit{M. R. Murty}, Invent. Math. 101, No. 1, 225--235 (1990; Zbl 0731.14011) Full Text: DOI EuDML
Miyamoto, Ian; Murty, M. Ram Elliptic pseudoprimes. (English) Zbl 0697.14021 Math. Comput. 53, No. 187, 415-430 (1989). Reviewer: H.-G.Rück MSC: 14H25 11R11 11N80 14K05 PDFBibTeX XMLCite \textit{I. Miyamoto} and \textit{M. R. Murty}, Math. Comput. 53, No. 187, 415--430 (1989; Zbl 0697.14021) Full Text: DOI