Journal
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
Volume -, Issue -, Pages -Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0004972723000618
Keywords
Riemann zeta function; harmonic number; central binomial coefficient
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By examining two hypergeometric series transformations, this study establishes several remarkable infinite series identities involving harmonic numbers and quintic central binomial coefficients, including five recently conjectured by Z.-W. Sun ['Series with summands involving harmonic numbers', Preprint, 2023, arXiv:2210.07238v7]. This is achieved through 'the coefficient extraction method' implemented by Mathematica commands.
By examining two hypergeometric series transformations, we establish several remarkable infinite series identities involving harmonic numbers and quintic central binomial coefficients, including five conjectured recently by Z.-W. Sun ['Series with summands involving harmonic numbers', Preprint, 2023, arXiv:2210.07238v7]. This is realised by 'the coefficient extraction method' implemented by Mathematica commands.
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