Modular forms and effective Diophantine approximation
type: Item
instance of: scholarly article
title: Modular forms and effective Diophantine approximation
zbMATH Open document ID: 1297.11022
author: M. Ram Murty
author: Hector Pasten
published in: Journal of Number Theory
publication date: 2014-09-09T00:00:00Z
Mathematics Subject Classification ID: 11F11
Mathematics Subject Classification ID: 11D75
Mathematics Subject Classification ID: 11G05
zbMATH DE Number: 6341835
zbMATH Keywords: effective diophantine approximation
zbMATH Keywords: modular forms
zbMATH Keywords: unit equation
zbMATH Keywords: ABC conjecture
MaRDI profile type: Publication
full work available at URL: j.jnt.2013.05.006
OpenAlex ID: W2137844544
cites work: Hecke operators on \(\Gamma_0(m)\)
cites work: Q4033105
cites work: The modular degree and the congruence number of a weight 2 cusp form
cites work: Modularity of a family of elliptic curves
cites work: Q3972629
cites work: Finiteness theorems for abelian varieties over number fields.
cites work: Q4731290
cites work: Q4486426
cites work: Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
cites work: On the number of Q-isomorphism classes of elliptic curves in each Q- isogeny class
cites work: The motivic fundamental group of \(\mathbf P^1\setminus\{0,1,\infty\}\) and the theorem of Siegel
cites work: Q4023805
cites work: Dimensions of the spaces of cusp forms and newforms on \(\Gamma_0(N)\) and \(\Gamma_1(N)\)
cites work: Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
cites work: Q4263352
cites work: Q3739268
cites work: The Arithmetic of Elliptic Curves
cites work: On the Oesterlé-Masser conjecture
cites work: On the \(abc\) conjecture
cites work: On the \(abc\) conjecture. II.
cites work: Ring-theoretic properties of certain Hecke algebras
cites work: Modular elliptic curves and Fermat's Last Theorem
DOI: 10.1016/J.JNT.2013.05.006
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description: scientific article; zbMATH DE number 6341835