On class numbers of algebraic function fields defined by \(y^ 2=x^ 5+ax\) over \(GF(p)\)

DOI10.1007/BF01198580zbMath0523.12012OpenAlexW2021212817MaRDI QIDQ1056792

Tadashi Washio

Publication date: 1983

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01198580

zbMATH Keywords

Hasse-Witt matrixclass number of hyperelliptic function fieldzeta-function of hyperelliptic function fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (1)

Hasse–Witt and Cartier–Manin matrices: A warning and a request

Cites Work

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• Hasse invariants and anomalous primes for elliptic curves with complex multiplication
• Curves with invertible Hasse-Witt-matrix
• The Hasse-Witt matrix of an algebraic curve
• A REMARK ON THE TRACE FORMULA FOR AN INSEPARABLE CORRESPONDENCE IN AN ALGEBRAIC FUNCTION FIELD
• Zyklische unverzweigte Erweiterungskörper vom Primzahlgradep über einem algebraischen Funktionenkörper der Charakteristikp

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