The Shintani cocycle. II: Partial \(\zeta\)-functions, cohomologous cocycles and \(p\)-adic interpolation

DOI10.1006/jnth.1998.2332zbMath0980.11027OpenAlexW1995999404MaRDI QIDQ1283045

David R. Solomon

Publication date: 27 February 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1998.2332

zbMATH Keywords

L-functionspartial zeta functionsShintani cocycle

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Dedekind eta function, Dedekind sums (11F20)

Related Items (6)

The \(p\)-adic Shintani modular symbol and evil Eisenstein series ⋮ Canonical equivariant cohomology classes generating zeta values of totally real fields ⋮ Verifying a \(p\)-adic abelian Stark conjecture at \(s=1\). ⋮ Computing $p$-adic $L$-functions of totally real number fields ⋮ \(p\)-adic polylogarithms and \(p\)-adic Hecke \(L\)-functions for totally real fields ⋮ Twisted zeta-functions and Abelian Stark conjectures

Cites Work

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• On p-adic L-functions over real quadratic fields
• Values at negative integers of zeta functions and \(p\)-adic zeta functions
• Eisenstein group cocycles for \(\text{GL}_ n\) and values of \(L\)- functions
• \(p\)-adic limits of Shintani generating functions for a real quadratic field
• Properties of Higher-Dimensional Shintani Generating Functions and Cocycles on Pgl₃ (Q)
• Integrality Properties of the Values of Partial Zeta Functions
• Reciprocity formulae for general Dedekind-Rademacher sums

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