A note on small gaps between primes in arithmetic progressions
Volume 172 / 2016
Acta Arithmetica 172 (2016), 351-375
MSC: 11N05, 11N13.
DOI: 10.4064/aa8277-11-2015
Published online: 4 February 2016
Abstract
We implement the Maynard–Tao method of detecting primes in tuples to investigate small gaps between primes in arithmetic progressions, with bounds that are uniform over a range of moduli.