Elliptic units and a Kummer's criterion for imaginary quadratic fields

DOI10.1016/0022-314X(87)90015-1zbMath0617.12004OpenAlexW2046412762MaRDI QIDQ1821815

Hiroshi Saito

Publication date: 1987

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(87)90015-1

zbMATH Keywords

class numberabelian extensionsimaginary quadratic fieldelliptic unitscyclic extensionsGrössencharactersvalues of L-functions

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Elliptic curves (14H52) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (1)

On elliptic units and \(p\)-adic Galois representations attached to elliptic curves

Cites Work

• Kummer's criterion for the special values of Hecke L-functions of imaginary quadratic fields and congruences among cusp forms
• Some applications of Kronecker's limit formulas
• On Galois Groups of Local Fields
• Congruence relations of Ankeny-Artin-Chowla type for pure cubic fields
• Nombres de Hurwitz et unités elliptiques. Un critère de régularité pour les extensions abéliennes d'un corps quadratique imaginaire
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