An elementary approach to \(L\)-functions \(\text{mod }p\)

DOI10.1006/jnth.1999.2452zbMath0977.11036OpenAlexW1995295220MaRDI QIDQ1971707

Greg W. Anderson

Publication date: 16 January 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.1999.2452

zbMATH Keywords

finite field\(L\)-functionCartier-linear operatorFrobenius-linear operator

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Arithmetic theory of polynomial rings over finite fields (11T55) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (15)

Special values of \(L\)-functions in characteristic \(p\) ⋮ Resultantal varieties related to zeroes of \(L\)-functions of Carlitz modules ⋮ Some cases of a conjecture on L-functions of twisted Carlitz modules ⋮ Equivariant trace formula mod \(p\) ⋮ The distribution of the zeros of the Goss zeta-function for \(A=\mathbb{F}_2[x,y/(y^2+y+x^3+x+1)\)] ⋮ A Koszul complex over skew polynomial rings ⋮ Cohomological Theory of Crystals over Function Fields and Applications ⋮ Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields ⋮ Test ideals via algebras of 𝑝^{-𝑒}-linear maps ⋮ Entireness of \(L\)-functions of \(\varphi\)-sheaves on affine complete intersections ⋮ Discreteness and rationality of \(F\)-jumping numbers on singular varieties ⋮ Special \(L\)-values of Drinfeld modules ⋮ Cartier modules: Finiteness results ⋮ An equivariant Tamagawa number formula for Drinfeld modules and applications ⋮ Rings of Frobenius operators

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