Eisenstein cocycles for \(GL_ 2 \mathbb{Q}\) and values of \(L\)-functions in real quadratic fields

DOI10.1007/BF02566508zbMath0776.11021MaRDI QIDQ1195944

Robert Sczech

Publication date: 11 January 1993

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140275

zbMATH Keywords

Dedekind sumsEisenstein cohomologyreciprocity formulaexplicit construction of Eisenstein cocyclesspecial values of zeta- and \(L\)- functions in totally real number fields

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11) Zeta functions and (L)-functions of number fields (11R42) Dedekind eta function, Dedekind sums (11F20) Cohomology of arithmetic groups (11F75)

Related Items (8)

On a class number formula of Hurwitz ⋮ Dedekind sums and signatures of intersection forms ⋮ The Barnes-Hurwitz zeta cocycle on \(\operatorname{PGL}_2(\mathbb{Q})\) ⋮ 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 ⋮ Transgressions of the Euler class and Eisenstein cohomology of \(\mathrm{GL}_N(\text{Z})\) ⋮ Eisenstein group cocycles for \(\text{GL}_ n\) and values of \(L\)- functions ⋮ Values of zeta functions at negative integers, Dedekind sums and toric geometry

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