Note on Artin's Conjecture on Primitive Roots

2021/05/28 by Sitaraman, Sankar
#11A07 #11L07 #11R18 #11T23 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2105.14012

Abstract

E. Artin conjectured that any integer a >1 which is not a perfect square is a primitive root modulo p for infinitely many primes p. Let f_a(p) be the multiplicative order of the non-square integer a modulo the prime p. M. R. Murty and S. Srinivasan [10] showed that if ∑_p ⊆ \mathbb F*_p.

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