Greg Martin

collaborators

2 papers

math.NT2025

Joint distributions of error terms for primes in arithmetic progressions modulo 11

KÃ¼bra Benli, Greg Martin, Paul PÃ©ringuey

We provide a formula for the logarithmic density of the set of positive real numbers on which two prime counting functions $I ¨ (x; q, a)$ and $I ¨ (x; q, b)$ are simultaneously larger tha…

math.NT2025

Refinements of Artin's primitive root conjecture

A famous conjecture of Artin asserts that any integer $a$ that is neither $- 1$ nor a square should be a primitive root (mod $p$ ) for a positive proportion of primes $p$ . Moreover,…