The Riemann Hypothesis for the Goss zeta function for Fq[T]
Jeffrey T. Sheats
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 Fp[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 Fq[T].
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