2 papers
math.NT2026
A non-abelian large sieve and Artin's primitive root conjecture
M. Ram Murty, Sunil Naik
A well-known conjecture of Artin states that if is an integer not equal to or a perfect square, then there exist infinitely many primes such that is a primit…
math.NT2025
Brun's inequality for a geometric lattice
M. Ram Murty, Sunil Naik
In a seminal paper of 1915, V. Brun introduced Brun's sieve, which is based on Brun's inequality for the Möbius function and is a very powerful tool in modern number theory. The i…