Signs of Fourier coefficients of cusp forms at integers represented by an integral binary quadratic form

DOI10.1007/S12044-021-00630-XzbMath1475.11080OpenAlexW3208213126MaRDI QIDQ2052881

Lalit Vaishya

Publication date: 29 November 2021

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

Full work available at URL: https://doi.org/10.1007/s12044-021-00630-x

zbMATH Keywords

asymptotic behaviourRankin-Selberg \(L\)-functionFourier coefficients of cusp formmodular form of one variable

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items (3)

Deterministic comparison of Hecke eigenvalues at the primes represented by a binary quadratic form ⋮ Counting square-free integers represented by binary quadratic forms of a fixed discriminant ⋮ On the simultaneous sign changes of Hecke eigenvalues over an integral binary quadratic form

Cites Work

• A short note on sign changes
• Oscillations of Fourier coefficients of modular forms
• On the signs of Fourier coefficients of cusp forms
• La conjecture de Weil. I
• Signs of Fourier coefficients of cusp form at sum of two squares
• Sign changes of Fourier coefficients of cusp forms supported on prime power indices
• ON THE NUMBER OF SIGN CHANGES OF HECKE EIGENVALUES OF NEWFORMS
• The average behavior of Fourier coefficients of cusp forms over sparse sequences
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