Sub-Weyl type range for twisted GL(2) short sums

Article Type

Research Article

Publication Title

Mathematika

Abstract

Let (Formula presented.) where (Formula presented.) is a bump function supported on the interval [1,2] and satisfying (Formula presented.) and (Formula presented.) ’s are the normalized Fourier coefficients of Hecke eigenform, and (Formula presented.) is a primitive character of conductor (Formula presented.). In this article, we prove a sub-Weyl type cancellation range (Formula presented.) provided that (Formula presented.). Note that the above bound is nontrivial if (Formula presented.).

DOI

10.1112/mtk.12265

Publication Date

7-1-2024

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