Peng Gao

collaborators

2 papers

math.NT2026

On the Gauss circle problem over smooth numbers

Peng Gao

The Gauss circle problem concerns with the evaluation of $\sum_{n \leq x} r (n)$ , where $r (n)$ denotes the number of representations of $n$ as sums of two squares and $x \geq 2$ . Let…

math.NT2025

First moment of central values of Hecke $L$ -functions with Fixed Order Characters

Peng Gao, Liangyi Zhao

We evaluate asymptotically the smoothed first moment of central values of families of quadratic, cubic, quartic and sextic Hecke $L$ -functions over various imaginary quadratic numb…

On the Gauss circle problem over smooth numbers

First moment of central values of Hecke L-functions with Fixed Order Characters

First moment of central values of Hecke $L$ -functions with Fixed Order Characters