Mean values of some Hecke characters

Abstract

In this paper, we evaluate a smoothed character sum involving $\sum_{m}\sum_{n}\leg {m}{n}$, with quadratic, cubic or quartic Hecke characters $\leg {m}{n}$, and the two sums over $m$ and $n$ are of comparable lengths.

11 pages

References in corpus (1)

• One level density of low-lying zeros of quadratic and quartic Hecke $L$-functions