A bound on the norm of overconvergent \(p\)-adic multiple polylogarithms

DOI10.1016/J.JNT.2019.04.026zbMath1472.11201OpenAlexW2955707517WikidataQ127677223 ScholiaQ127677223MaRDI QIDQ2322898

David Jarossay

Publication date: 5 September 2019

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2019.04.026

zbMATH Keywords

Knizhnik-Zamolodchikov equations\(p\)-adic differential equations\(p\)-adic cyclotomic multiple zeta valuescyclotomic multiple harmonic sumscrystalline pro-unipotent fundamental groupoidoverconvergent \(p\)-adic multiple polylogarithmsthe projective line minus three points

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Polylogarithms and relations with (K)-theory (11G55)

Related Items (6)

Double shuffle relations for refined symmetric multiple zeta values ⋮ Depth reductions for associators ⋮ Pro-unipotent harmonic actions and dynamical properties of \(p\)-adic cyclotomic multiple zeta values ⋮ Alternating multizeta values in positive characteristic ⋮ p-adic multiple L-functions and cyclotomic multiple harmonic values ⋮ 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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