Riemann hypothesis for \(\mathbb{F}_ p[T]\)

DOI10.1006/jnth.1996.0100zbMath0862.11040OpenAlexW1969140850MaRDI QIDQ1924255

Javier Diaz-Vargas

Publication date: 26 May 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1996.0100

zbMATH Keywords

Riemann zeta functionfunction fieldNewton polygonsRiemann hypothesisspecial valuesDrinfeld modulesarithmetic of polynomialspolynomial sums

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (13)

Power sums with applications to multizeta and zeta zero distribution for \(\mathbb F_q[t\)] ⋮ Riemann hypothesis for the Goss \(t\)-adic zeta function ⋮ Vanishing of multizeta values over at negative integers ⋮ The distribution of the zeros of the Goss zeta-function for \(A=\mathbb{F}_2[x,y/(y^2+y+x^3+x+1)\)] ⋮ Cohomological Theory of Crystals over Function Fields and Applications ⋮ Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields ⋮ On zeros of characteristic \(p\) zeta function ⋮ Applications of non-Archimedean integration to the \(L\)-series of \(\tau\)-sheaves ⋮ Power sums of polynomials over finite fields and applications: a survey ⋮ Index of maximality and Goss zeta function ⋮ The Riemann Hypothesis for the Goss zeta function for \(\mathbb{F}_q[T\)] ⋮ A Riemann Hypothesis for characteristic \(p\) \(L\)-functions ⋮ Zero distribution of v-adic multiple zeta values over 𝔽q(t)

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