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Brief communications

On the Weyl Formula for the Laplace Operator on Hyperbolic Riemann Surfaces

D. A. Popov<sup>ab

a</sup> M. V. Lomonosov Moscow State University
^b A. N. Belozersky Institute of Physico-Chemical Biology, M. V. Lomonosov Moscow State University

Abstract: An explicit formula which gives an expansion in the zeros of the Selberg function of the second term in the Weyl formula for any strictly hyperbolic group is obtained, and some of its consequences are stated.

Keywords: Weyl formula, strictly hyperbolic group, Selberg zeta function.

UDC: 517.984.5

Received: 09.07.2012

DOI: 10.4213/faa3148

 English version: Functional Analysis and Its Applications, 2014, 48:2, 150–153

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