2 citations · 5 across the 18 of their papers we have counts for
5 papers · 1 filter
Mixed moments of twisted -functions
Zhenpeng Tang, Xiaosheng Wu
We establish an asymptotic formula with a power-saving error term for the twisted mixed moment of Dirichlet -functions and automorphic -functions twisted by all primitive cha…
Upper Bounds for low moments of twisted Fourier coefficients of modular forms
Peng Gao, Xiaosheng Wu
For any large prime , and any real , we prove an upper bound for the following -th moment $$\displaystyle \sum_{\substack{χ\bmod q}} \Big|…
Bilinear forms with Kloosterman sums and moments of twisted L-functions
Djordje Milićević, Xinhua Qin, Xiaosheng Wu
We establish power-saving estimates for general bilinear forms with Kloosterman sums modulo arbitrary q, including when both variables are shorter than the Polya-Vinogradov range.…
The mollified fourth moment of Dirichlet -functions
Peng Gao, Xiaosheng Wu, Liangyi Zhao
We prove an asymptotic formula with a power saving error term for the fourth moment of the family of Dirichlet -functions to modulus mollified by a Dirichlet polynomial of l…
Non-vanishing of Dirichlet -functions at the Central Point
Xinhua Qin, Xiaosheng Wu
We prove that for at least of the primitive Dirichlet characters with large general modulus, the central value is non-vanishing.