Rocky Mountain Journal of Mathematics

Riemann hypothesis for the Goss $t$-adic zeta function

Javier Diaz-Vargas and Enrique Polanco-Chi

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

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Rocky Mountain J. Math., Volume 46, Number 2 (2016), 435-442.

First available in Project Euclid: 26 July 2016

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Zentralblatt MATH identifier

Primary: 11M38: Zeta and $L$-functions in characteristic $p$

Riemann hypothesis Goss zeta function


Diaz-Vargas, Javier; Polanco-Chi, Enrique. Riemann hypothesis for the Goss $t$-adic zeta function. Rocky Mountain J. Math. 46 (2016), no. 2, 435--442. doi:10.1216/RMJ-2016-46-2-435.

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