2014/04/15 by Sunil K. Chebolu, Keir Lockridge, Chebolu, Sunil K. +3
Mathematics · #05C90 #11A07 #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #Primary 11A41 #Rings, Modules, and Algebras #Secondary 15B99
paper · pdf · doi:10.48550/arxiv.1404.4096
openalex publication_date 2014/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.