The index of Stickelberger ideals of order 2 and cuspidal class numbers

DOI10.1007/BF01420177zbMath0371.12023MaRDI QIDQ1243306

Serge Lang, Daniel S. Kubert

Publication date: 1978

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182788

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Arithmetic ground fields for curves (14H25) Modular and automorphic functions (11F03) Classical groups (11E57) Algebras and orders, and their zeta functions (11S45)

Related Items (6)

Some remarks on a theorem of Parent and generalizing Ogg's conjecture ⋮ The cuspidal class number formula for the modular curves \(X_ 0(M)\) with \(M\) square-free ⋮ On the Stickelberger ideal of order \(k\) on \(C^k(N)\) ⋮ Cuspidal class number formula for the modular curves \(X_ 1(p)\) ⋮ The cuspidal class number formula for certain quotient curves of the modular curve \(X_0(M)\) by Atkin-Lehner involutions ⋮ Modular units and cuspidal divisor class groups of \(X_1(N)\)

Cites Work

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• Über Dedekindsche Summen und Untergruppen der Modulgruppe
• On p-adic L-functions over real quadratic fields
• Units in the modular function field. I. - II: A full set of units. - III: Distribution relations
• Distributions on toroidal groups
• On the Stickelberger ideal and the circular units of a cyclotomic field
• On l-adic zeta functions
• An analogue of Stickelberger's theorem for the higher K-groups
• A class number formula for cyclotomic fields
• On \(K_2\) and some classical conjectures in algebraic number theory
• Integrality Properties of the Values of Partial Zeta Functions
• Über Automorphiefaktoren und die Dedekindschen Summen

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