Gaps between nonzero Fourier coefficients of cusp forms

DOI10.1090/S0002-9939-2014-12164-2zbMath1307.11053MaRDI QIDQ3190378

Satadal Ganguly, Soumya Das

Publication date: 17 September 2014

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

zbMATH Keywords

Fourier coefficients of cusp formssums of two squares

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (7)

Simultaneous non-vanishing and sign changes of Fourier coefficients of modular forms ⋮ 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 ⋮ The first simultaneous sign change and non-vanishing of Hecke eigenvalues of newforms ⋮ A note on small gaps between nonzero Fourier coefficients of cusp forms ⋮ On quasimodular eigenforms

Cites Work

• Unnamed Item
• 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
• Quelques applications du théorème de densité de Chebotarev
• Eigenvalues of Hecke operators on \(\text{SL}(2, \mathbb Z)\)
• Squarefree numbers as sums of two squares
• The vanishing of Ramanujan's function \(\tau(n)\)
• Square-Free Integers as Sums of Two Squares
• Period polynomials and congruences for Hecke algebras
• Exponential Sums and Lattice Points III
• Nonvanishing of Fourier coefficients of newforms in progressions
• Nonvanishing of Fourier coefficients of modular forms
• NONVANISHING OF THE RAMANUJAN TAU FUNCTION IN SHORT INTERVALS
• ODD VALUES OF FOURIER COEFFICIENTS OF CERTAIN 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

This page was built for publication: Gaps between nonzero Fourier coefficients of cusp forms