Eisenstein group cocycles for \(\text{GL}_ n\) and values of \(L\)- functions

DOI10.1007/BF01244319zbMath0809.11029MaRDI QIDQ1319237

Robert Sczech

Publication date: 2 April 1995

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

Full work available at URL: https://eudml.org/doc/144138

zbMATH Keywords

cohomologyzeta functionspecial valuesEisenstein cocycleray class

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items

The relative Hecke integral formula for an arbitrary extension of number fields ⋮ The Eisenstein cocycle and Gross's tower of fields conjecture ⋮ Topological polylogarithms and \(p\)-adic interpolation of \(L\)-values of totally real fields ⋮ The Barnes-Hurwitz zeta cocycle on \(\operatorname{PGL}_2(\mathbb{Q})\) ⋮ Canonical equivariant cohomology classes generating zeta values of totally real fields ⋮ Shintani-Barnes cocycles and values of the zeta functions of algebraic number fields ⋮ Eisenstein cohomology classes for \(\mathrm{GL}_N\) over imaginary quadratic fields ⋮ Evaluation of Dedekind sums, Eisenstein cocycles, and special values of \(L\)-functions ⋮ Hecke-Siegel's pull-back formula for the Epstein zeta function with a harmonic polynomial ⋮ Degeneration of Eisenstein classes of Hilbert-Blumenthal modular families. ⋮ A refinement of Stark's conjecture over complex cubic number fields ⋮ Eisenstein cocycles over imaginary quadratic fields and special values of \(L\)-functions ⋮ The Shintani cocycle. II: Partial \(\zeta\)-functions, cohomologous cocycles and \(p\)-adic interpolation ⋮ \(p\)-adic polylogarithms and \(p\)-adic Hecke \(L\)-functions for totally real fields ⋮ Transgressions of the Euler class and Eisenstein cohomology of \(\mathrm{GL}_N(\text{Z})\) ⋮ Values of zeta functions at negative integers, Dedekind sums and toric geometry

Cites Work

• An elementary identity in the theory of Hecke \(L\)-functions
• Algebraicity of special values of \(L\)-functions
• The modular symbol and continued fractions in higher dimensions
• Eisenstein cocycles for \(GL_ 2 \mathbb{Q}\) and values of \(L\)-functions in real quadratic fields
• On the Generators of the Symplectic Modular Group
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