Riemann Hypothesis for Goss t-adic Zeta Function

2014/08/05 by Javier Diaz-Vargas, Diaz-Vargas, Javier, Enrique Polanco-Chi +1
Mathematics · #11M38 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11M38

paper · pdf · doi:10.48550/arxiv.1408.1111

To appear in Rocky Mountain Journal of Mathematics

arxiv created 2014/08/05 · arxiv updated 2014/08/07

Abstract

In this short note, we give a proof of the Riemann hypothesis for Goss v-adic zeta function ζ_v(s), when v is a prime of \mathbbF_q[t] of degree one.

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