4 papers
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…
Coprimality of elements in regular sequences with polynomial growth
Jean-Marc Deshouillers, Sunil Naik
The investigation of primes in certain arithmetic sequences is one of the fundamental problems in number theory and especially, finding blocks of distinct primes has gained a lot o…
On coprimality of consecutive elements in certain sequences
Jean-Marc Deshouillers, Sunil Naik
The study of finding blocks of primes in certain arithmetic sequences is one of the classical problems in number theory. It is also very interesting to study blocks of consecutive…
Matsuda monoids and Artin's primitive root conjecture
Sunil Naik
Let be the additive submonoid generated by and . In a recent work, Christensen, Gipson and Kulosman proved that is not a Matsuda monoid of t…