Hidekazu Furusho, Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
Published 2015-08-28Version 1
We construct $p$-adic multiple $L$-functions in several variables, which are generalizations of the classical Kubota-Leopoldt $p$-adic $L$-functions, by using a specific $p$-adic measure. Our construction is from the $p$-adic analytic side of view, and we establish various fundamental properties of these functions.
Comments: This paper is the p-adic part of our original article arXiv:math/1309.3982 which was divided into the complex part and the p-adic part
Desingularization of complex multiple zeta-functions, fundamentals of $p$-adic multiple $L$-functions, and evaluation of their special values
On the evaluations of multiple $S$ and $T$ values of the form $S(\overset{{}_{(-)}}{2}, 1, \ldots, 1, \overset{{}_{(-)}}{1})$ and $T(\overset{{}_{(-)}}{2}, 1, \ldots, 1, \overset{{}_{(-)}}{1})$
Arithmetic cohomology over finite fields and special values of zeta-functions
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