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arXiv · 1508.07185

Fundamentals of p-adic multiple L-functions and evaluation of their special values

Hidekazu Furusho·Yasushi Komori·Kohji Matsumoto·Hirofumi Tsumura
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Abstract

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.

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Hidekazu Furusho, Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura. 2015-09-23. Fundamentals of p-adic multiple L-functions and evaluation of their special values. https://arxiv.org/abs/1508.07185

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