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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Published:2021-11-11
Issue:
Volume:
Page:1-29
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ISSN:1793-0421
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Container-title:International Journal of Number Theory
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language:en
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Short-container-title:Int. J. Number Theory
Affiliation:
1. Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Be’er Sheva 8410501, Israel
Abstract
We define and apply a method to study the non-vanishing of [Formula: see text]-adic cyclotomic multiple zeta values. We prove the non-vanishing of certain cyclotomic multiple harmonic sums, and, via a formula proved in another paper, which expresses certain cyclotomic multiple harmonic sums as infinite sums of products of [Formula: see text]-adic cyclotomic multiple zeta values, this implies the non-vanishing of certain [Formula: see text]-adic cyclotomic multiple zeta values.
Funder
Labex IRMIA
NCCR SwissMAP
Israel Science Foundation
Publisher
World Scientific Pub Co Pte Ltd
Subject
Algebra and Number Theory