On the coefficients of symmetric power L-functions

DOI10.1142/S1793042118500495zbMath1440.11066arXiv1703.08344OpenAlexW2963244989MaRDI QIDQ4609575

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

Publication date: 4 April 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08344

zbMATH Keywords

Fourier coefficientscusp formssymmetric power \(L\)-functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)

Related Items (6)

Deterministic comparison of Hecke eigenvalues at the primes represented by a binary quadratic form ⋮ Simultaneous sign change and equidistribution of signs of Fourier coefficients of two cusp forms ⋮ Some density results on sets of primes for Hecke eigenvalues ⋮ Deterministic comparison of cusp form coefficients over certain sequences ⋮ Oscillatory behavior and equidistribution of signs of Fourier coefficients of cusp forms ⋮ Angular changes of Fourier coefficients at primes

Cites Work

• Fourier coefficients of symmetric power \(L\)-functions
• Multiplicative functions in short intervals
• A short note on sign changes
• A family of Calabi-Yau varieties and potential automorphy. II.
• Oscillations of Fourier coefficients of modular forms
• On conjectures of Sato-Tate and Bruinier-Kohnen
• Some remarks on the coefficients of symmetric power 𝐿-functions

This page was built for publication: On the coefficients of symmetric power L-functions