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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa8277-11-2015,
author = {Deniz A. Kaptan},
title = {A note on small gaps between primes in arithmetic progressions},
journal = {Acta Arithmetica},
volume = {172},
year = {2016},
pages = {351-375},
zbl = {1337.11061},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa8277-11-2015}
}
Deniz A. Kaptan. A note on small gaps between primes in arithmetic progressions. Acta Arithmetica, Tome 172 (2016) pp. 351-375. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa8277-11-2015/