Universality of Hecke $L$-functions in the Grossencharacter-aspect

Shin-ya Koyama, Hidehiko Mishou

Type: Article

Publication Date: 2002-05-01

Citations: 7

DOI: https://doi.org/10.3792/pjaa.78.63

Abstract

We consider the Hecke $L$-function $L(s,\lambda^m)$ of the imaginary quadratic field $\mathbf{Q}(i)$ with the $m$-th Grossencharacter $\lambda^m$. We obtain the universality property of $L(s,\lambda^m)$ as both $m$ and $t = \operatorname{Im}(s)$ go to infinity.

Locations

Proceedings of the Japan Academy Series A Mathematical Sciences - View - PDF

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