On a problem involving the squares of odd harmonic numbers

John M. Campbell,Paul Levrie,Ce Xu,Jianqiang Zhao

The Ramanujan Journal（2024）

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摘要

We introduce a full solution to a problem considered by Wang and Chu concerning series involving the squares of finite sums of the form 1 + 1/3 + ⋯ + 1/2n-1 . Our proof involves techniques from the theory of colored multiple zeta values.

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关键词

Harmonic sum,Odd harmonic number,Closed form,Colored multiple zeta value

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