Computing zeta functions of Kummer curves via multiplicative characters

DOI10.1007/s10208-002-0066-6zbMath1083.11080OpenAlexW2024616482MaRDI QIDQ1405724

Alan G. B. Lauder

Publication date: 26 August 2003

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10208-002-0066-6

zbMATH Keywords

Zeta functionhyperellipticL-functionmultiplicative characterKummer curvesuperelliptic

Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Other character sums and Gauss sums (11T24) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Computational aspects of algebraic curves (14Q05)

Related Items (4)

The p-rank of the reduction mod p of Jacobians and Jacobi sums ⋮ Approximating Euler products and class number computation in algebraic function fields ⋮ Counting Points in Medium Characteristic Using Kedlaya's Algorithm ⋮ Computing zeta functions of Artin-Schreier curves over finite fields. II

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