4 papers
Bounds for moments of twisted quadratic characters of prime modulus
Peng Gao, Yuetong Zhao
We study, under the Generalized Riemann Hypothesis (GRH), the moments of sums of Fourier coefficients of a fixed holomorphic Hecke eigenform twisted by the quadratic character $χ_{…
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{Ï\bmod q}} \Big…
Bounds for integral moments of quadratic twists of Fourier coefficients of modular forms
Peng Gao, Yuetong Zhao
In this paper, we obtain under the assumption of the Generalized Riemann Hypothesis upper bounds for all high integral moments of sums of Fourier coefficients of a given modular fo…
Mean squares of quadratic twists of the Fourier coefficients of modular forms
Peng Gao, Yuetong Zhao
In this paper, we evaluate asymptotically a smoothed version of the sum \[ \displaystyle \sideset{}{^*}\sum_{d \leq X} \left( \sum_{n \leq Y} λ_f(n)\Big(\frac{8d}{n}\Big)\right)^2…