On non-intersecting arithmetic progressions

Régis de la Bretèche, Kevin Ford, and Joseph Vandehey. "On non-intersecting arithmetic progressions." Acta Arithmetica 157.4 (2013): 381-392. <http://eudml.org/doc/278905>.

@article{RégisdelaBretèche2013,
abstract = {We improve known bounds for the maximum number of pairwise disjoint arithmetic progressions using distinct moduli less than x. We close the gap between upper and lower bounds even further under the assumption of a conjecture from combinatorics about Δ-systems (also known as sunflowers).},
author = {Régis de la Bretèche, Kevin Ford, Joseph Vandehey},
journal = {Acta Arithmetica},
keywords = {arithmetic progressions; disjoint arithmetic progressions; sunflowers; delta systems},
language = {eng},
number = {4},
pages = {381-392},
title = {On non-intersecting arithmetic progressions},
url = {http://eudml.org/doc/278905},
volume = {157},
year = {2013},
}

TY - JOUR
AU - Régis de la Bretèche
AU - Kevin Ford
AU - Joseph Vandehey
TI - On non-intersecting arithmetic progressions
JO - Acta Arithmetica
PY - 2013
VL - 157
IS - 4
SP - 381
EP - 392
AB - We improve known bounds for the maximum number of pairwise disjoint arithmetic progressions using distinct moduli less than x. We close the gap between upper and lower bounds even further under the assumption of a conjecture from combinatorics about Δ-systems (also known as sunflowers).
LA - eng
KW - arithmetic progressions; disjoint arithmetic progressions; sunflowers; delta systems
UR - http://eudml.org/doc/278905
ER -