On the first sign change of Fourier coefficients of cusp forms

DOI10.1016/J.JNT.2018.02.011zbMath1441.11093OpenAlexW2793163819WikidataQ130098594 ScholiaQ130098594MaRDI QIDQ1753823

Xiaoguang He, Li Lu Zhao

Publication date: 29 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.02.011

zbMATH Keywords

cusp formFourier coefficientsign change

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Automorphic forms, one variable (11F12)

Related Items (5)

ON FUNDAMENTAL FOURIER COEFFICIENTS OF SIEGEL CUSP FORMS OF DEGREE 2 ⋮ On sign changes of primitive Fourier coefficients of Siegel cusp forms ⋮ On sign changes of Fourier coefficients of Hermitian cusp forms of degree two ⋮ First sign changes of modular forms for general level \(N\) ⋮ On the first sign change of Fourier coefficients of cusp forms at sum of two squares

Cites Work

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• On the first sign change of Hecke eigenvalues of newforms
• On modular signs
• On signs of Fourier coefficients of cusp forms
• The first sign change of Fourier coefficients of cusp forms
• Sign changes of Fourier coefficients of Siegel cusp forms of degree two on Hecke congruence subgroups
• THE FIRST NEGATIVE HECKE EIGENVALUE
• An Explicit Bound for the First Sign Change of the Fourier Coefficients of a Siegel Cusp Form

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