On the denominator of generalized Bernoulli numbers
โ Scribed by Albert T Lundell
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 369 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0022-314X
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๐ SIMILAR VOLUMES
Let A(x)=a d x d + } } } +a 0 be the minimal polynomial of : over Z. Recall that the denominator of :, denoted den(:), is defined as the least positive integer n for which n: is an algebraic integer. It is well known that den(:)|a d . In this paper we study the density of algebraic numbers : of fixe
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
A method is developed for determining the values of any Bernoulli or Euler number from the sums of reciprocal powers.