p-adic multiple L-functions and cyclotomic multiple harmonic values

DOI10.1142/S1793042120500190zbMATH Open1452.11105arXiv1806.09600OpenAlexW3100755766MaRDI QIDQ5221461

Hidekazu Furusho, David Jarossay

Publication date: 26 March 2020

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

Abstract: We show that the special values at tuples of positive integers of the $p$-adic multiple $L$-function introduced by the first-named author et al. can be expressed in terms of the cyclotomic multiple harmonic values introduced by the second-named author.

Full work available at URL: https://arxiv.org/abs/1806.09600

zbMATH Keywords

\(p\)-adic cyclotomic multiple zeta valuescyclotomic multiple harmonic sums\(p\)-adic multiple \(L\)-functions

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Zeta functions and (L)-functions (11S40) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

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Related Items (5)

On the \(p\)-adic valuation of harmonic numbers ⋮ Multiple \(p\)-adic \(L\)-function ⋮ Depth reductions for associators ⋮ On 𝑝-adic harmonic Maass functions ⋮ Non-vanishing of certain cyclotomic multiple harmonic sums and application to the non-vanishing of certain p-adic cyclotomic multiple zeta values

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