A relation between Bernoulli numbers
โ Scribed by Hiroo Miki
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 196 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We define higher or arbitrary order universal Bernoulli numbers and higher order universal Bernoulli Hurwitz numbers. We deduce a universal first-order Kummer congruence and a congruence for the higher order universal Bernoulli Hurwitz numbers from Clarke's universal von Staudt theorem. We also esta
We give an easy proof of a recently published recurrence for the Bernoulli numbers and we present some applications of the recurrence. One of the applications is a simple proof of the well-known Staudt-Clausen Theorem. Proofs are also given for theorems of Carlitz. Frobenius, and Ramanujan. An analo