Integral representations for local dilogarithm and trilogarithm functions

Published 28 Aug 2021 in math.NT | (2108.12543v2)

Abstract: We show new integral representations for dilogarithm and trilogarithm functions on the unit interval. As a consequence, we also prove (1) new integral representations for Apery, Catalan constants, and Legendre chi functions of order 2, 3, (2) a lower bound for the dilogarithm function on the unit interval, (3) new Euler sums.

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Authors (1)

Masato Kobayashi

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