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- W4286879782 abstract "Let f be a Hecke-Maass or holomorphic primitive cusp form for $SL(2,mathbb{Z})$ with Fourier coefficients $lambda_{f}(n)$. Let $chi$ be a primitive Dirichlet character of modulus p, where p is a prime number. In this article we prove the following Weyl-type bound: for any $epsilon >0$, $$sum_{|n| ll N}lambda_{f}(n)chi (n) ll_{f,epsilon}N^{3/4 }p^{1/6}(pN)^{epsilon}.$$ We can see an improvement of the range $N > p^{3/4}$ to the range $N > p^{2/3}$ and we get a bound for $S_{f,chi}(N)$ without going into the $L$-function." @default.
- W4286879782 created "2022-07-25" @default.
- W4286879782 creator A5003881665 @default.
- W4286879782 date "2021-11-01" @default.
- W4286879782 modified "2023-09-28" @default.
- W4286879782 title "Weyl-type bounds for twisted $GL(2)$ short character sums" @default.
- W4286879782 hasPublicationYear "2021" @default.
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