A spectral interpretation for the zeros of the Riemann zeta function
Number Theory
2013-08-28 v3
Abstract
Based on work of Alain Connes, I have constructed a spectral interpretation for zeros of L-functions. Here we specialise this construction to the Riemann zeta function. We construct an operator on a nuclear Frechet space whose spectrum is the set of non-trivial zeros of zeta. We exhibit the explicit formula for the zeros of the Riemann zeta function as a character formula.
Cite
@article{arxiv.math/0412277,
title = {A spectral interpretation for the zeros of the Riemann zeta function},
author = {Ralf Meyer},
journal= {arXiv preprint arXiv:math/0412277},
year = {2013}
}
Comments
15 pages. Corrected a few typos and added clarifying footnotes to the published version