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Numerical semigroups: Apéry

✍ Scribed by Jorge L. Ramírez Alfonsín; Øystein J. Rødseth

Book ID: 105927978
Publisher: Springer
Year: 2009
Tongue: English
Weight: 376 KB
Volume: 79
Category: Article
ISSN: 0037-1912
DOI: 10.1007/s00233-009-9133-5

No coin nor oath required. For personal study only.

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The Aprry numbers, introduced in Aprry's celebrated proof of the irrationality of ~(3), are defined by n (n~ 2 (n+k)2 a, = ~k=0 ~k/ ~ k j • They have the following nice property: if p is a prime number, and n = ~ niP j is the base p expansion of n, then a, = I-la,j rood p. In a paper which appeared

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