Selberg Formula for Cofinite Groups and the Roelke Conjecture
Number Theory
2019-01-25 v4
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.
Cite
@article{arxiv.1705.05612,
title = {Selberg Formula for Cofinite Groups and the Roelke Conjecture},
author = {Dmitry A. Popov},
journal= {arXiv preprint arXiv:1705.05612},
year = {2019}
}
Comments
As the reviewer have pointed out, the proof of Roelke Conjecture contains an error