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
✦ LIBER ✦
Note on certain congruences for generalized Bernoulli numbers
✍ Scribed by Tauno Metsänkylä
- Book ID
- 112499924
- Publisher
- Springer
- Year
- 1978
- Tongue
- English
- Weight
- 175 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Congruences for Bernoulli numbers and Be
✍
Zhi-Hong Sun
📂
Article
📅
1997
🏛
Elsevier Science
🌐
English
⚖ 292 KB
Congruences for Bernoulli, Euler, and St
✍
Paul Thomas Young
📂
Article
📅
1999
🏛
Elsevier Science
🌐
English
⚖ 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
A note on Bernoulli numbers
✍
P. Chowla; S. Chowla
📂
Article
📅
1980
🏛
Elsevier Science
🌐
English
⚖ 73 KB
A Note On Bernoulli Numbers
✍
I.S. Slavutskii
📂
Article
📅
1995
🏛
Elsevier Science
🌐
English
⚖ 63 KB
p-adic Proofs of congruences for the Ber
✍
Wells Johnson
📂
Article
📅
1975
🏛
Elsevier Science
🌐
English
⚖ 655 KB
On higher order generalized Bernoulli nu
✍
Youngho Jang; Dae San Kim
📂
Article
📅
2003
🏛
Elsevier Science
🌐
English
⚖ 122 KB