Two congruences concerning Apéry numbers conjectured by Z.-W. Sun
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Publication:779925
DOI10.3934/era.2020058zbMath1461.11039arXiv1909.08983OpenAlexW2973681658MaRDI QIDQ779925
Publication date: 14 July 2020
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.08983
Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07)
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- Proof of some conjectures of Z.-W. Sun on congruences for Apéry polynomials
- On sums of Apéry polynomials and related congruences
- Congruences concerning Bernoulli numbers and Bernoulli polynomials
- Congruences arising from Apéry-type series for zeta values
- Another congruence for the Apéry numbers
- Congruences of alternating multiple harmonic sums
- Arithmetic theory of harmonic numbers
- NEW CONGRUENCES FOR SUMS INVOLVING APÉRY NUMBERS OR CENTRAL DELANNOY NUMBERS
- Arithmetic theory of harmonic numbers (II)
- A Gaussian hypergeometric series evaluation and Apéry number congruences
- Congruences for Apéry numbers βn =∑k=0nn k2n+k k
- CONGRUENCES FOR THE TH APÉRY NUMBER
- WOLSTENHOLME TYPE THEOREM FOR MULTIPLE HARMONIC SUMS
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