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arXiv · 1705.05612

Selberg Formula for Cofinite Groups and the Roelke Conjecture

Dmitry A. Popov
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Abstract

As the reviewer have pointed out, the proof of Roelke Conjecture contains an error. For cofinite groups, we obtain a formula connecting the discrete spectrum of Laplace operator and the resonance spectrum. Using this formula, we give a proof of the Roelke conjecture. In this version, we make several corrections in Theorem 1 and Lemma 5.

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Dmitry A. Popov. 2017-05-16. Selberg Formula for Cofinite Groups and the Roelke Conjecture. https://arxiv.org/abs/1705.05612

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