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Some congruences for Apery numbers. (English) Zbl 0482.10003

MSC:
11A07 Congruences; primitive roots; residue systems
11B37 Recurrences
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[1] Carlitz, L., The coefficients of the reciprocal of J0(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., ()
[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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