On a problem involving the squares of odd harmonic numbers

DOI10.1007/s11139-023-00765-7arXiv2206.05026MaRDI QIDQ6144575

No author found.

Publication date: 29 January 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.05026

zbMATH Keywords

closed formharmonic sumcolored multiple zeta valueodd harmonic number

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Evaluation of number-theoretic constants (11Y60)

Cites Work

• Ramanujan-like series for \(\frac{1}{\pi}\) involving harmonic numbers
• Further Ramanujan-like series containing harmonic numbers and squared binomial coefficients
• A certain series associated with Catalan's constant
• On the interplay between hypergeometric series, Fourier-Legendre expansions and Euler sums
• Series with harmonic-like numbers and squared binomial coefficients
• Explicit identities for infinite families of series involving squared binomial coefficients
• Series containing squared central binomial coefficients and alternating harmonic numbers
• Infinite series on quadratic skew harmonic numbers
• The Newest Inductee in the Number Hall of Fame
• Euler-like sums via powers of log, arctan and arctanh functions
• A Wilf–Zeilberger–Based Solution to the Basel Problem With Applications
• A natural companion to Catalan's constant
• Evaluation of a ln tan integral arising in quantum field theory
• On two conjectures of Sun concerning Apéry-like series
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