\(L\)-functions of exponential sums on curves over rings

DOI10.1016/j.ffa.2009.01.001zbMath1190.11065OpenAlexW2070604592MaRDI QIDQ1017417

Régis Blache

Publication date: 19 May 2009

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2009.01.001

zbMATH Keywords

\(L\)-functionsWitt vectorsWeil numbersexponential sums over \(p\)-adic rings

Mathematics Subject Classification ID

Exponential sums (11T23) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (2)

Hasse invariants and mod \(p\) solutions of \(A\)-hypergeometric systems ⋮ The \(p\)-rank strata of the moduli space of hyperelliptic curves

Cites Work

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• Schemata over local rings
• Exponential sums modulo prime powers
• Codes over rings from curves of higher genus
• Euclidean weights of codes from elliptic curves over rings
• Exponential sums with rational function entries
• On certain character sums over p ‐adic rings and their L ‐functions
• Estimate of a complete rational trigonometric sum

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