An explicit framework for \(p\)-adic multiple polylogarithms and \(p\)-adic multiple zeta values

DOI10.1016/J.CRMA.2015.07.007zbMath1329.11069arXiv1503.08756OpenAlexW1696459379MaRDI QIDQ889474

David Jarossay

Publication date: 6 November 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.08756

zbMATH Keywords

\(p\)-adic multiple zeta values\(p\)-adic multiple polylogarithms

Mathematics Subject Classification ID

Polylogarithms and relations with (K)-theory (11G55) Zeta and (L)-functions in characteristic (p) (11M38) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (3)

A notion of finite multiple zeta values associated with the Frobenius of the fundamental group of \(\mathbb{P}^1\setminus\{0,1,\infty\}\) ⋮ p-adic multiple L-functions and cyclotomic multiple harmonic values ⋮ A bound on the norm of overconvergent \(p\)-adic multiple polylogarithms

Cites Work

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• \(p\)-adic multiple zeta values. I: \(p\)-adic multiple polylogarithms and the \(p\)-adic KZ equation
• \(p\)-adic multi-zeta values
• Groupes fondamentaux motiviques de Tate mixte
• An Interpolation Series for Continuous Functions of a p-adic Variable.
• p -adic multiple zeta values II. Tannakian interpretations

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