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.
Citation
Shin-ya Koyama. "The first eigenvalue problem and tensor products of zeta functions." Proc. Japan Acad. Ser. A Math. Sci. 80 (5) 35 - 39, May 2004. https://doi.org/10.3792/pjaa.80.35
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