June 2023 Almost all Fourier coefficients of symmetric power $L$-functions are small
Henry H. Kim
Funct. Approx. Comment. Math. 68(2): 249-255 (June 2023). DOI: 10.7169/facm/2082

Abstract

We show that the Fourier coefficients of the symmetric power $L$-functions of modular forms are $O((\log n)^{-\frac{1}{2}+\epsilon})$ except for a density zero set.

Citation

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Henry H. Kim. "Almost all Fourier coefficients of symmetric power $L$-functions are small." Funct. Approx. Comment. Math. 68 (2) 249 - 255, June 2023. https://doi.org/10.7169/facm/2082

Information

Published: June 2023
First available in Project Euclid: 22 December 2022

MathSciNet: MR4603778
zbMATH: 07720204
Digital Object Identifier: 10.7169/facm/2082

Subjects:
Primary: 11R42
Secondary: 11M41

Keywords: modular forms , Sato-Tate distribution , symmetric power $L$-functions

Rights: Copyright © 2023 Adam Mickiewicz University

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Vol.68 • No. 2 • June 2023
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