The first eigenvalue problem and tensor products of zeta functions

Shin-ya Koyama

Type: Article

Publication Date: 2004-05-01

Citations: 6

DOI: https://doi.org/10.3792/pjaa.80.35

Abstract

We obtain a new bound for the first eigenvalue of the Laplacian for Bianchi manifolds by the method of Luo, Rudnick and Sarnak. We use a recent result of Kim on symmetric power $L$-functions. The key idea is to take tensor products of zeta functions, and we report on our recent developments on Kurokawa's multiple zeta functions.

Locations

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

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