Proof of some conjectures of Z.-W. Sun on congruences for Apéry polynomials

DOI10.1016/j.jnt.2012.02.004zbMath1300.11005arXiv1101.0983OpenAlexW2082916805WikidataQ122955411 ScholiaQ122955411MaRDI QIDQ423617

Victor J. W. Guo, Zeng, Jiang

Publication date: 4 June 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0983

zbMATH Keywords

combinatorial identitiescongruencesLegendre symbolApéry polynomialsPfaff-Saalschütz identitySchmidt polynomials

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)

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Cites Work

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• Supercongruences between truncated $_{2}F_{1}$ hypergeometric functions and their Gaussian analogs