On the generating functions of Mersenne and Fermat primes
β Scribed by Pablo A. Panzone
- Book ID
- 107700384
- Publisher
- Universitat de Barcelona
- Year
- 2010
- Tongue
- Spanish
- Weight
- 177 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0010-0757
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
An associative ring R can be viewed as a semigroup via a β’ b = a + b + ab, and as a Lie ring via [a, b] = abba. It is known that the Lie ring [R] is nilpotent if and only if the adjoint semigroup (R, β’) is nilpotent (in the sense defined by Mal'cev or by Neumann and Taylor). We prove a similar resul
We examine densities of several sets connected with the Fermat numbers F m ΒΌ 2 2 m ΓΎ 1: In particular, we prove that the series of reciprocals of all prime divisors of Fermat numbers is convergent. We also show that the series of reciprocals of elite primes is convergent.