English

Riemann Hypothesis for Goss $t$-adic Zeta Function

Number Theory 2014-08-07 v1

Abstract

In this short note, we give a proof of the Riemann hypothesis for Goss vv-adic zeta function ζv(s)\zeta_{v}(s), when vv is a prime of Fq[t]\mathbb{F}_{q}[t] of degree one.

Keywords

Cite

@article{arxiv.1408.1111,
  title  = {Riemann Hypothesis for Goss $t$-adic Zeta Function},
  author = {Javier Diaz-Vargas and Enrique Polanco-Chi},
  journal= {arXiv preprint arXiv:1408.1111},
  year   = {2014}
}

Comments

To appear in Rocky Mountain Journal of Mathematics

R2 v1 2026-06-22T05:21:12.956Z