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

Hidekazu Furusho; David Jarossay

doi:10.1142/S1793042120500190

paper

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

arXiv:1806.09600 · doi:10.1142/S1793042120500190

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.

10 pages, to appear in Int. J. Number Theory

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

Abstract

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