Properties of Higher-Dimensional Shintani Generating Functions and Cocycles on Pgl3 (Q)
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Publication:2766385
DOI10.1112/S0024611500012612zbMath1045.11035MaRDI QIDQ2766385
Publication date: 28 January 2002
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Zeta functions and (L)-functions (11S40) Cohomology of arithmetic groups (11F75)
Related Items (10)
The Eisenstein cocycle and Gross's tower of fields conjecture ⋮ The Barnes-Hurwitz zeta cocycle on \(\operatorname{PGL}_2(\mathbb{Q})\) ⋮ Canonical equivariant cohomology classes generating zeta values of totally real fields ⋮ Evaluation of Dedekind sums, Eisenstein cocycles, and special values of \(L\)-functions ⋮ On the theory of normalized Shintani \(L\)-functions and its application to Hecke \(L\)-functions. I. Real quadratic fields ⋮ Shintani cocycles and the order of vanishing of \(p\)-adic Hecke \(L\)-series at \(s=0\) ⋮ 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 ⋮ Equidistribution of higher dimensional generalized Dedekind sums and exponential sums ⋮ Derivatives of Dedekind sums and their reciprocity law.
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