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We propose a relation between values of the Riemann zeta function [Formula: see text] and a family of integrals. This results in an integral representation for [Formula: see text], where p is a positive integer, and an expression of [Formula: see text] involving one of the above-mentioned integrals together with a harmonic-number sum. Simplification of the latter eventually leads to an integral representation of [Formula: see text].
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Kumar et al. (2024) studied this question.
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