Distributions on toroidal groups

DOI10.1007/BF01187867zbMath0324.10021OpenAlexW4250240218MaRDI QIDQ1224601

Serge Lang, Daniel S. Kubert

Publication date: 1976

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

Full work available at URL: https://eudml.org/doc/172347

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Units and factorization (11R27) Modular and automorphic functions (11F03) Trigonometric and exponential sums (general theory) (11L03) Global ground fields in algebraic geometry (14G25) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Algebraic groups (14L99)

Related Items (14)

The Lerch zeta function. IV: Hecke operators ⋮ Probabilistic renormalization and analytic continuation ⋮ A cuspidal class number formula for the modular curves \(X_1(N)\) ⋮ On the Stickelberger ideal of order \(k\) on \(C^k(N)\) ⋮ Cuspidal class number formula for the modular curves \(X_ 1(p)\) ⋮ A system of free generators for the universal even ordinary \(\mathbb{Z}_{(2)}\) distribution on \(\mathbb{Q}^{2k}/\mathbb{Z}^{2k}\) ⋮ Cuspidal class number of the tower of modular curves \(X_1(Np^n)\) ⋮ Units in the modular function field. IV: The Siegel functions are generators ⋮ The p-primary component of the cuspidal divisor class group on the modular curve X(p) ⋮ The index of Stickelberger ideals of order 2 and cuspidal class numbers ⋮ Stickelberger ideals ⋮ Cartan-Bernoulli numbers as values of L-series ⋮ Class invariants and cyclotomic unit groups from special values of modular units ⋮ The universal ordinary distribution

Cites Work

• Eine Verallgemeinerung der Bernoullischen Zahlen
• Units in the modular function field. I. - II: A full set of units. - III: Distribution relations

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