Characterizations of Mersenne and 2-rooted primes
Number Theory
2015-06-15 v3 Combinatorics
Abstract
We give several characterizations of Mersenne primes (Theorem 1.1) and of primes for which 2 is a primitive root (Theorem 1.2). These characterizations involve group algebras, circulant matrices, binomial coefficients, and bipartite graphs.
Keywords
Cite
@article{arxiv.1404.4096,
title = {Characterizations of Mersenne and 2-rooted primes},
author = {Sunil K. Chebolu and Keir Lockridge and Gaywalee Yamskulna},
journal= {arXiv preprint arXiv:1404.4096},
year = {2015}
}
Comments
19 pages, final version, to appear in Finite Fields and their Applications