A short note on sign changes

DOI10.1007/s12044-013-0139-2zbMath1281.11043arXiv1301.0883OpenAlexW2126396674MaRDI QIDQ369290

Karam Deo Shankhadhar, Jaban Meher, G. K. Viswanadham

Publication date: 24 September 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.0883

zbMATH Keywords

Hecke eigenvalues\(q\)-exponentsSign changes

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30)

Related Items (17)

Sign changes and nonvanishing of Fourier coefficients of holomorphic cusp forms ⋮ Sign changes of Fourier coefficients of cusp forms supported on prime power indices ⋮ On the \(q\)-exponents of generalized modular functions ⋮ On the first simultaneous sign change and non-vanishing of Fourier coefficients of cusp forms ⋮ Sign changes of Hecke eigenvalues ⋮ On the coefficients of symmetric power L-functions ⋮ On the first sign change of Fourier coefficients of cusp forms at sum of two squares ⋮ A note on signs of Fourier coefficients of two cusp forms ⋮ Signs of Fourier coefficients of cusp forms at integers represented by an integral binary quadratic form ⋮ Some remarks on the Fourier coefficients of cusp forms ⋮ Signs of Fourier coefficients of cusp form at sum of two squares ⋮ Angular changes of Fourier coefficients at primes ⋮ On the sign changes and non-vanishing of Hecke eigenvalues associated to symmetric power \(L\)-functions ⋮ On the simultaneous sign changes of Hecke eigenvalues over an integral binary quadratic form ⋮ Sign changes of coefficients of certain Dirichlet series ⋮ Sign changes in restricted coefficients of Hilbert modular forms ⋮ Sign changes of certain arithmetical function at prime powers

Cites Work

• Some remarks on the \(q\)-exponents of generalized modular functions
• On an open problem of Sankaranarayanan
• Generalized modular forms.
• Behavior of automorphic \(L\)-functions at the center of the critical strip
• The first sign change of Fourier coefficients of cusp forms
• Prime number theorems for the coefficients of modular forms
• On Generalized Modular forms and their Applications
• The average behavior of Fourier coefficients of cusp forms over sparse sequences
• THE FIRST NEGATIVE HECKE EIGENVALUE
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A short note on sign changes