Roger C. Baker

collaborators

2 papers

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.NT2012

Piatetski-Shapiro sequences

Roger C. Baker, William D. Banks, Jörg Brüdern +2

We consider various arithmetic questions for the Piatetski-Shapiro sequences $\fl{n^c}$ ( $n = 1, 2, 3, ...$ ) with $c > 1$ , $c \neq \in N$ . We exhibit a positive function $θ (c)$ with the pro…