On class numbers of hyperelliptic function fields with Hasse-Witt invariant zero

DOI10.1007/BF01271660zbMath0615.12016MaRDI QIDQ1820818

Tetsuo Kodama, Tadashi Washio

Publication date: 1987

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

zbMATH Keywords

Riemann hypothesisL-functioncongruence relationalgebraic function fieldsJacobi sumHasse-Witt matrixhyperelliptic function fieldHasse-Witt- invariant

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Iwasawa theory (11R23)

Related Items (2)

A family of hyperelliptic function fields with Hasse-Witt-invariant zero ⋮ Hasse–Witt and Cartier–Manin matrices: A warning and a request

Cites Work

• Sums of Gauss, Jacobi, and Jacobsthal
• The Hasse-Witt matrix of an algebraic curve
• Die Hasse-Witt-Invariante eines Kongruenzfunktionenkörpers
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