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- W1996712018 abstract "The Apéry numbers, introduced in Apéry's celebrated proof of the irrationality of ζ(3), are defined by an=∑nk=0(nk)2(n+kk)2. They have the following nice property: if p is a prime number, and n = ∑ nj pj is the base p expansion of n, then an ≡ ∏anj mod p. In a paper which appeared in this journal (64 (1995)11–19), C. Radoux asserted that the same property holds, provided p ⩾ 5, if p is replaced by p2 both for the base and for the congruence, and if p is replaced by p3 both for the base and for the congruence. We show that these two statements are not correct." @default.
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- W1996712018 date "1997-09-01" @default.
- W1996712018 modified "2023-09-25" @default.
- W1996712018 title "A remark on Apéry's numbers" @default.
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- W1996712018 doi "https://doi.org/10.1016/s0377-0427(97)00074-5" @default.
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