✦ LIBER ✦
On Kummer-Type Congruences for Derivatives of Barnes' Multiple Bernoulli Polynomials
✍ Scribed by Kaori Ota
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 225 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
✦ Synopsis
The theorem of Kummer congruences of Bernoulli numbers says that if p -1 h m and mn (mod p N (p -1)), then
In this paper we generalize these congruences to derivatives of Barnes' multiple Bernoulli polynomials by an elementary method and give a p-adic interpretation of them.