Oscillations of coefficients of Dirichlet series attached to automorphic forms

DOI10.1090/proc/13264zbMath1409.11073arXiv1412.8567OpenAlexW2339334752MaRDI QIDQ5298181

Jaban Meher, M. Ram Murty

Publication date: 14 December 2016

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

Full work available at URL: https://arxiv.org/abs/1412.8567

zbMATH Keywords

automorphic \(L\)-functionsSiegel modular forms

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Tauberian theorems (11M45)

Related Items (11)

Strong multiplicity one for Siegel cusp forms of degree two ⋮ The first simultaneous sign change for Fourier coefficients of Hecke-Maass forms ⋮ Unnamed Item ⋮ On the first simultaneous sign change for Fourier coefficients associated with Hecke-Maass forms ⋮ On signs of Fourier coefficients of Hecke-Maass cusp forms on 𝐺𝐿₃ ⋮ On short sums involving Fourier coefficients of Maass forms ⋮ Sign changes of coefficients and sums of coefficients of \(L\)-functions ⋮ A note on the extended Bruinier-Kohnen conjecture ⋮ Signs of Fourier coefficients of cusp form at sum of two squares ⋮ Some remarks on the coefficients of symmetric power 𝐿-functions ⋮ On the sign changes and non-vanishing of Hecke eigenvalues associated to symmetric power \(L\)-functions

Cites Work

• The average order of Hecke eigenvalues of Siegel cusp forms of genus 2
• First moments of Fourier coefficients of \(\mathrm{GL}(r)\) cusp forms
• On Selberg's eigenvalue conjecture
• Endoscopy for \(\mathrm{GSp}(4)\) and the cohomology of Siegel modular threefolds
• Functional equations with multiple gamma factors and the average order of arithmetical functions
• Zeta functions of simple algebras
• Rankin-Selberg Convolutions
• On sums involving coefficients of automorphic $L$-functions
• Sign changes of Hecke eigenvalues of Siegel cusp forms of genus two
• On Certain L-Functions
• SIGN CHANGES IN SHORT INTERVALS OF COEFFICIENTS OF SPINOR ZETA FUNCTION OF A SIEGEL CUSP FORM OF GENUS 2
• Sign changes of Fourier coefficients of half-integral weight cusp forms

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