𝔖 Bobbio Scriptorium
✦   LIBER   ✦

General Congruences Involving the Bernoulli Numbers

✍ Scribed by H. S. Vandiver

Book ID
123668901
Publisher
National Academy of Sciences
Year
1942
Tongue
English
Weight
187 KB
Volume
28
Category
Article
ISSN
0027-8424

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Congruences involving Bernoulli and Eule
Congruences involving Bernoulli and Euler numbers
✍ 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 Involving Bernoulli Numbers
Congruences Involving Bernoulli Numbers and Fermat–Euler Quotients
✍ 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

Congruences for Bernoulli numbers and Be
Congruences for Bernoulli numbers and Bernoulli polynomials
✍ Zhi-Hong Sun πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 292 KB

Let {B.(x)} be the well-known Bernoulli polynemials. It is the purpose of this paper to determine pB~p-t~+b(x)modp ", where p is a prime, k, b nonnegative integers and x a rational p-integer. It is interesting to investigate arithmetic properties of {B,} and {Bn(x)}. For the work on this line one ma