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Some congruences for Apery numbers. (English) Zbl 0482.10003


MSC:

11A07 Congruences; primitive roots; residue systems
11B37 Recurrences

Citations:

Zbl 0428.10008
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Full Text: DOI

References:

[1] Carlitz, L., The coefficients of the reciprocal of \(J_0(x)\), Arch. Mat., 6, 121-127 (1955) · Zbl 0064.06502
[2] Chowla, S.; Cowles, J.; Cowles, M., Congruence properties of Apéry numbers, J. Number Theory, 12, 188-190 (1980) · Zbl 0428.10008
[3] Cowles, J., Some congruence properties of three well-known sequences: Two notes, J. Number Theory, 12, 84-86 (1980) · Zbl 0425.10033
[4] Hardy, G. H.; Wright, E. M., (An Introduction to the Theory of Numbers (1960), Oxford Univ. Press: Oxford Univ. Press London) · Zbl 0086.25803
[5] Kazandzidis, G. S., Congruences on the binomial coefficients, Bull. Soc. Math. Grèce (N.S.), 9, 1-12 (1968) · Zbl 0179.06601
[6] Lucas, E., Sur les congruences des nombres eulériens et des coefficients différentiels des fonctions trigonométriques, suivant un module premier, Bull. Soc. Math. de France, 6, 49-54 (1878) · JFM 10.0139.04
[7] van der Poorten, A., A proof that Euler missed … Apéry’s proof of the irrationality of ζ(3). An informal report, Math. Intelligencer, 1, 195-203 (1979) · Zbl 0409.10028
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