Shintani-Barnes cocycles and values of the zeta functions of algebraic number fields

DOI10.2140/ant.2023.17.1153arXiv2104.09030MaRDI QIDQ6158354

Hohto Bekki

Publication date: 31 May 2023

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09030

zbMATH Keywords

special values of \(L\)-functionsEisenstein cocycleShintani cocycle

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Zeta functions and (L)-functions of number fields (11R42) Cohomology of arithmetic groups (11F75)

Cites Work

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• Transgressions of the Euler class and Eisenstein cohomology of \(\mathrm{GL}_N(\text{Z})\)
• Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
• Eisenstein group cocycles for \(\text{GL}_ n\) and values of \(L\)- functions
• Topological polylogarithms and \(p\)-adic interpolation of \(L\)-values of totally real fields
• Twisters and signed fundamental domains for number fields
• Eisenstein cocycles over imaginary quadratic fields and special values of \(L\)-functions
• Integral Eisenstein cocycles on \(\mathrm{GL}_n\). II: Shintani's method.
• On Shintani's ray class invariant for totally real number fields
• Higher Kronecker “limit” formulas for real quadratic fields
• Signed fundamental domains for totally real number fields
• Shintani cocycles on GL _n
• Canonical equivariant cohomology classes generating zeta values of totally real fields

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