LOG-SINE EVALUATIONS OF MAHLER MEASURES

Author:

BORWEIN JONATHAN M.,STRAUB ARMIN

Abstract

AbstractWe provide evaluations of several recently studied higher and multiple Mahler measures using log-sine integrals. This is complemented with an analysis of generating functions and identities for log-sine integrals which allows the evaluations to be expressed in terms of zeta values or more general polylogarithmic terms. The machinery developed is then applied to evaluation of further families of multiple Mahler measures.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Evaluations of the areal Mahler measure of multivariable polynomials;Journal of Number Theory;2024-01

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3. Log-sine-polylog integrals and alternating Euler sums;Acta Mathematica Hungarica;2019-09-05

4. Generalized Log-sine integrals and Bell polynomials;Journal of Computational and Applied Mathematics;2019-02

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