Sign changes of Hecke eigenvalue of primitive cusp forms

DOI10.1016/J.JNT.2016.08.011zbMath1419.11071OpenAlexW2531163575MaRDI QIDQ344116

Zhao Xu

Publication date: 22 November 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.08.011

zbMATH Keywords

Hecke eigenvaluezero densityprimitive form

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 (2)

On the first sign change of Fourier coefficients of cusp forms at sum of two squares ⋮ On the first negative Hecke eigenvalue of an automorphic representation of \(\mathrm{GL}_2(\mathbb{A}_\mathbb{Q})\)

Cites Work

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• Distribution of values of symmetric power \(L\)-functions at the edge of the critical strip
• The first negative coefficients of symmetric square \(L\)-functions
• The number of coefficients of automorphic \(L\)-functions for \(\mathrm{GL}_m\) of same signs
• On the signs of Fourier coefficients of cusp forms
• Linnik-type problems for automorphic \(L\)-functions
• Sign changes of Fourier coefficients of Maass eigenforms
• On the first sign change of Hecke eigenvalues of newforms
• On modular signs
• Two Linnik-type problems for automorphic L-functions
• On signs of Fourier coefficients of cusp forms
• THE FIRST NEGATIVE HECKE EIGENVALUE

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