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 2014 · math.NTShow all

4 papers · 2 filters

math.NT2014★ 2 cited

Gaps of Smallest Possible Order between Primes in an Arithmetic Progression

Roger C. Baker, Liangyi Zhao

Let $t \in N$ , $η > 0$ . Suppose that $x$ is a sufficiently large real number and $q$ is a natural number with $q \leq x^{5/12 - η}$ , $q$ not a multiple of the conductor of the…

math.NT2014★ 5 cited

Gaps between Primes in Beatty Sequences

Roger C. Baker, Liangyi Zhao

In this paper, we study the gaps between primes in Beatty sequences following the methods in the recent breakthrough of J. Maynard.

math.NT2014

Bounded gaps between primes with a given primitive root, II

Roger C. Baker, Paul Pollack

Let $m$ be a natural number, and let $Q$ be a set containing at least $exp (C m)$ primes. We show that one can find infinitely many strings of $m$ consecutive primes each…

math.NT2014★ 38 cited

Bounded gaps between primes with a given primitive root

Paul Pollack

Fix an integer $g \neq = - 1$ that is not a perfect square. In 1927, Artin conjectured that there are infinitely many primes for which $g$ is a primitive root. Forty years later, Hool…