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math.NT2015
Geometric Progression-Free Sequences with Small Gaps II
Xiaoyu He
When is a constant at least , a sequence of positive integers is called -GP-free if it contains no nontrivial -term geometric progressions. Beiglbök, Bergelson, Hi…
math.NT2015★ 2 cited
Geometric Progression-Free Sequences with Small Gaps
Xiaoyu He
Various authors, including McNew, Nathanson and O'Bryant, have recently studied the maximal asymptotic density of a geometric progression free sequence of positive integers. In thi…
math.NT2013★ 6 cited
Cross Number Invariants of Finite Abelian Groups
Xiaoyu He
The cross number of a sequence over a finite abelian group is the sum of the inverse orders of the terms of that sequence. We study two group invariants, the maximal cross numb…