# Journal of the Ramanujan Mathematical Society

Volume 37, Issue 2, June 2022 pp. 99–107.

Average values of quadratic Hecke character sums

**Authors**:
Peng Gao and Liangyi Zhao

**Author institution:**School of Mathematical Sciences, Beihang University, Beijing 100191, China

**Summary: **
We study certain smoothed character sums involving ∑{m,n}(
{m}/{n}){2}, where ({\cdot}/{n}){2} denotes the quadratic symbol
in the Gaussian field. We extend some previously known results to
obtain asymptotic formulas for the sums considered to larger
ranges of m and n.

Contents
Full-Text PDF