3 papers
math.NT2025
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|…
math.NT2025
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…
math.NT2025
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,…