R. Baker

activity

20122021

most citedBounded gaps between primes with a given primitive root

38 citations · 45 across the 12 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.NT2015

Clusters of primes with square-free translates

Roger C. Baker, Paul Pollack

Let $R$ be a finite set of integers satisfying appropriate local conditions. We show the existence of long clusters of primes $p$ in bounded length intervals with $p - b$ s…

math.NT2015

Bounded intervals containing many primes

R. C. Baker, A. J. Irving

By combining a sieve method of Harman with the work of Maynard and Tao we show that $n \to \infty lim inf (p_{n + m} - p_{n}) ≪ exp (3.815 m) .$