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Some congruences for the Apery numbers

โœ Scribed by F Beukers


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
518 KB
Volume
21
Category
Article
ISSN
0022-314X

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Let R, represent the set of all rational numbers which are integral (mod m ) . We recall that a/b is integral (mod m) if m and b are relatively prime. If {a,L} is a sequence of numbers in R,, where p is a fixed rational prime, it is customary to say that a, satisfies KUMMER'S congruence when for al

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We use properties of p-adic integrals and measures to obtain congruences for higher-order Bernoulli and Euler numbers and polynomials, as well as for certain generalizations and for Stirling numbers of the second kind. These congruences are analogues and generalizations of the usual Kummer congruenc