Euler Systems and Jochnowitz Congruences
β Scribed by Darmon, H (author);Bertolini, M (author)
- Book ID
- 118226186
- Publisher
- Johns Hopkins University Press
- Year
- 1999
- Tongue
- English
- Weight
- 535 KB
- Volume
- 121
- Category
- Article
- ISSN
- 0002-9327
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π SIMILAR VOLUMES
Let [x] be the integral part of x. Let p > 5 be a prime. In the paper we mainly determine ) in terms of Euler and Bernoulli numbers. For example, we have where E n is the nth Euler number and B n is the nth Bernoulli number.
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
Let B m be the mth Bernoulli number in the even suffix notation and let q(a, n)=(a j(n) -1)/n be the Fermat-Euler quotient, where a, n \ 2 are relatively prime positive integers and j is the Euler totient function. The main purpose of this paper is to devise a certain congruence involving the Bernou