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The Riemann Hypothesis for the Goss zeta function for F_q[T]

Jeffrey T. Sheats
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Abstract

Let q be a power of a prime p. We prove an assertion of Carlitz which takes q as parameter. Diaz-Vargas' proof of the Riemann Hypothesis for the Goss zeta function for F_p[T] depends on his verification of Carlitz's assertion for the specific case q = p. Our proof of the general case allows us to extend Diaz-Vargas' proof to F_q[T].

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BibTeXRIS

Jeffrey T. Sheats. 1998-01-07. The Riemann Hypothesis for the Goss zeta function for F_q[T]. https://arxiv.org/abs/math/9801158

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