English

Trace formulas applied to the Riemann $\zeta$-function

Spectral Theory 2018-12-04 v1

Abstract

We use a spectral theory perspective to reconsider properties of the Riemann zeta function. In particular, new integral representations are derived and used to present its value at odd positive integers.

Keywords

Cite

@article{arxiv.1812.00459,
  title  = {Trace formulas applied to the Riemann $\zeta$-function},
  author = {Mark S. Ashbaugh and Fritz Gesztesy and Lotfi Hermi and Klaus Kirsten and Lance Littlejohn and Hagop Tossounian},
  journal= {arXiv preprint arXiv:1812.00459},
  year   = {2018}
}

Comments

19 pages, 1 figure

R2 v1 2026-06-23T06:28:31.711Z