On a problem involving the squares of odd harmonic numbers

Abstract

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

20 pages

References in corpus (2)

• Evaluation of a ln tan integral arising in quantum field theory
• On two conjectures of Sun concerning Apéry-like series

Cited by in corpus (2)

• New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values
• Hyper-Mahler measures via Goncharov-Deligne cyclotomy