A note on small gaps between nonzero Fourier coefficients of cusp forms

DOI10.1090/proc/12887zbMath1364.11096OpenAlexW1862845912MaRDI QIDQ2796699

Satadal Ganguly, Soumya Das

Publication date: 29 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/12887

zbMATH Keywords

elliptic curvesFourier coefficients of cusp formssums of two squares

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items (3)

On the distribution of coefficients of half-integral weight modular forms and the Bruinier–Kohnen conjecture ⋮ On the gaps between nonzero Fourier coefficients of eigenforms with CM ⋮ On the gaps between non-zero Fourier coefficients of cusp forms of higher weight

Cites Work

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• On the gaps in the Fourier expansion of cusp forms
• Small gaps in coefficients of \(L\)-functions and \({\mathfrak B}\)-free numbers in short intervals
• Finiteness theorems for abelian varieties over number fields.
• Quelques applications du théorème de densité de Chebotarev
• Eigenvalues of Hecke operators on \(\text{SL}(2, \mathbb Z)\)
• Gaps between nonzero Fourier coefficients of cusp forms
• Nonvanishing of Fourier coefficients of modular forms
• On the Sizes of Gaps in the Fourier Expansion of Modular Forms
• The Chebotarev density theorem in short intervals and some questions of Serre

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