Entireness of \(L\)-functions of \(\varphi\)-sheaves on affine complete intersections

DOI10.1006/jnth.1997.2055zbMath0908.11026OpenAlexW2015035502MaRDI QIDQ677639

Daqing Wan, Yuichiro Taguchi

Publication date: 13 April 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2055

zbMATH Keywords

\(L\)-functionsDrinfeld modulessheaves on affine complete intersections

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (7)

Special values of \(L\)-functions in characteristic \(p\) ⋮ An elementary approach to \(L\)-functions \(\text{mod }p\) ⋮ Cohomological Theory of Crystals over Function Fields and Applications ⋮ Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields ⋮ Applications of non-Archimedean integration to the \(L\)-series of \(\tau\)-sheaves ⋮ Special \(L\)-values of Drinfeld modules ⋮ A Riemann Hypothesis for characteristic \(p\) \(L\)-functions

Cites Work

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• Affine curves in characteristic p are set theoretic complete intersections
• Meromorphic continuation of \(L\)-functions of \(p\)-adic representations
• On \(\varphi\)-modules
• An elementary approach to \(L\)-functions \(\text{mod }p\)
• Formal cohomology. III: Fixed point theorems
• 𝐿-functions of 𝜑-sheaves and Drinfeld modules

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