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- W4213142196 abstract "We focus on the problems of sign changes and nonvanishing of Fourier coefficients of holomorphic cusp forms. Let λf(n), λg(n) and λh(n) be the n-th Fourier coefficients of primitive holomorphic cusp forms f, g and h for SL(2,ℤ), respectively. Firstly, we study the behavior of the signs of the sequences {λf(nj)} with j≥3, {λf(ni)λg(nj)} with i≥1,j≥2, and {λf(n)λg(n)λh(n)} in short intervals, and present some quantitative results for the number of sign changes for n≤x. Here we improve and generalize previous results. Moreover, we investigate simultaneous nonvanishing of {λf(nj)λg(nj)λh(nj)} with j≥1 in short intervals." @default.
- W4213142196 created "2022-02-24" @default.
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- W4213142196 date "2021-10-01" @default.
- W4213142196 modified "2023-09-27" @default.
- W4213142196 title "Sign changes and nonvanishing of Fourier coefficients of holomorphic cusp forms" @default.
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- W4213142196 doi "https://doi.org/10.1216/rmj.2021.51.1701" @default.
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