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The Riemann Hypothesis for the Goss Zeta Function for Fq[T]

✍ Scribed by Jeffrey T Sheats

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 516 KB
Volume: 71
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1998.2232

No coin nor oath required. For personal study only.

✦ Synopsis

Let q be a power of a prime p. We prove an assertion of Carlitz which takes q as a 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 [D-V]. Our proof of the general case allows us to extend Diaz-Vargas' proof to F q [T].

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