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Euler Systems and Jochnowitz Congruences

✍ 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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πŸ“œ SIMILAR VOLUMES


Euler Systems and Jochnowitz Congruences
✍ Darmon, H (author);Bertolini, M (author) πŸ“‚ Article πŸ“… 1999 πŸ› Johns Hopkins University Press 🌐 English βš– 535 KB
Super congruences and Euler numbers
✍ Zhi-Wei Sun πŸ“‚ Article πŸ“… 2011 πŸ› SP Science China Press 🌐 English βš– 341 KB
Congruences involving Bernoulli and Eule
✍ Zhi-Hong Sun πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 263 KB

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.

Congruences for Bernoulli, Euler, and St
✍ Paul Thomas Young πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 193 KB

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

Congruences Involving Bernoulli Numbers
✍ Takashi Agoh πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 100 KB

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