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- W3025170815 abstract "Abstract We study the probabilistic behavior of sums of Fourier coefficients in arithmetic progressions. We prove a result analogous to previous work of Fouvry–Ganguly–Kowalski–Michel and Kowalski–Ricotta in the context of half-integral weight holomorphic cusp forms and for prime power modulus. We actually show that these sums follow in a suitable range a mixed Gaussian distribution that comes from the asymptotic mixed distribution of Salié sums." @default.
- W3025170815 created "2020-05-21" @default.
- W3025170815 creator A5075848578 @default.
- W3025170815 date "2020-05-13" @default.
- W3025170815 modified "2023-09-25" @default.
- W3025170815 title "Fourier Coefficients of Modular Forms of Half-Integral Weight in Arithmetic Progressions" @default.
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- W3025170815 doi "https://doi.org/10.1093/imrn/rnaa105" @default.
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