Fundamentals of p-adic multiple L-functions and evaluation of their special values · arXivDesk
1508.07185Aug 28, 2015This 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
Fundamentals of p-adic multiple L-functions and evaluation of their special values
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
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-adic analytic side of view, and we establish various fundamental properties of these functions.