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

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

1998-01-07

arxiv.org/abs/math/9801158v1

Mathematics

Number Theory

Scientific paper

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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