Dedekindsummen mit elliptischen Funktionen

DOI10.1007/BF01388472zbMath0521.10021MaRDI QIDQ1055473

Robert Sczech

Publication date: 1984

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143135

zbMATH Keywords

reciprocity lawSerre theoremanalogs of Dedekind sumscohomology of SL(2)rank of factor commutator group

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Structure of modular groups and generalizations; arithmetic groups (11F06) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (25)

SOME ARITHMETIC PROPERTIES OF AN ELLIPTIC DEDEKIND SUM ⋮ The density of elliptic Dedekind sums ⋮ The Jacobi form \(D_L\), theta functions, and Eisenstein series ⋮ A generalization of the reciprocity law of multiple Dedekind sums ⋮ On a property of elliptic Dedekind sums ⋮ Dedekind sums in finite characteristic ⋮ Elliptic Apostol sums and their reciprocity laws ⋮ Dedekind sums and quadratic residue symbols ⋮ Dedekind sums involving Jacobi modular forms and special values of Barnes zeta functions ⋮ Kronecker's first limit formula for Kleinian groups ⋮ The equidistribution of elliptic Dedekind sums and generalized Selberg-Kloosterman sums ⋮ Eisenstein cohomology classes for \(\mathrm{GL}_N\) over imaginary quadratic fields ⋮ Finite Dedekind Sums ⋮ Sommes de Dedekind associées à un corps de nombres totalement réel ⋮ Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas ⋮ An elliptic analogue of generalized Dedekind-Rademacher sums ⋮ Sommes de Dedekind elliptiques et formes de Jacobi. (Elliptic Dedekind sums and Jacobi forms). ⋮ Analogies of Dedekind sums in function fields ⋮ Logarithms of theta functions on the upper half space ⋮ A geometric proof of a reciprocity law ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Transgressions of the Euler class and Eisenstein cohomology of \(\mathrm{GL}_N(\text{Z})\) ⋮ Values of Dedekind sums for function fields ⋮ On Jacobi forms, and explicit evaluations of some trigonometric sums

Cites Work

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• Beziehungen zwischen Dedekindschen Summen
• On the arithmetic of special values of L functions
• Identities for sums of Dedekind type
• Elliptic functions and transcendence
• Generators and relations for certain special linear groups
• Le problème des groupes de congruence pour \(SL_2\)
• Nombres de Hurwitz et unités elliptiques. Un critère de régularité pour les extensions abéliennes d'un corps quadratique imaginaire
• Ein arithmetischer Satz über eine Matrizengruppe.
• L-functions of elliptic curves with complex multiplication, I

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