On hypergeometric identities related to zeta values

DOI10.1007/S40879-016-0126-0zbMath1429.11122OpenAlexW2579974035MaRDI QIDQ2012289

Raffaele Marcovecchio

Publication date: 28 July 2017

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-016-0126-0

zbMATH Keywords

zeta valuesbinomial and binomial-harmonic identities

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Generalized hypergeometric series, ({}_pF_q) (33C20) Simultaneous homogeneous approximation, linear forms (11J13)

Cites Work

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• The irrationality measures of \(\zeta (2)\) and \(\zeta (3)\) revisited
• Well-poised hypergeometric series for Diophantine problems of zeta values
• Arithmetic of linear forms involving odd zeta values
• A hypergeometric problem
• Computer proofs of a new family of harmonic number identities.
• Irrationality proofs for zeta values, moduli spaces and dinner parties
• Hypergéométrie et fonction zêta de Riemann

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