Partial fraction decompositions and Kummer congruences for the normalized coefficients of the Laurent expansion of elliptic functions parametrizing a nonsingular cubic curve in Hessian normal form.

DOI10.1515/CRLL.1979.306.60zbMath0398.12005OpenAlexW4206561865MaRDI QIDQ4182806

Chip Snyder

Publication date: 1979

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002195860

zbMATH Keywords

elliptic functionsLaurent expansionKummer congruencesHessian normal formgeneralized Von Staudt-Clausen partial fraction decompositionsnonsingular cubic curve

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Arithmetic theory of algebraic function fields (11R58) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52)

Related Items (2)

A concept of Bernoulli numbers in algebraic function fields. II ⋮ On a formal analogue of the Bernoulli numbers

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