Irrational numbers associated to sequences without geometric progressions

zbMath1314.11011arXiv1307.8135MaRDI QIDQ2926265

Kevin O'Bryant, Melvyn B. Nathanson

Publication date: 23 October 2014

Full work available at URL: https://arxiv.org/abs/1307.8135

zbMATH Keywords

Szemerédi theoremirrational numbermaximal geometric progression-free setmaximal subset

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Special sequences and polynomials (11B83) Arithmetic progressions (11B25)

Related Items (6)

A problem of Rankin on sets without geometric progressions ⋮ Multiplicative patterns in syndetic sets ⋮ Geometric progression-free sequences with small gaps ⋮ Subsets of \(\mathbb{F}_q[x\) free of 3-term geometric progressions] ⋮ Geometric progressions in syndetic sets ⋮ On sets of integers which contain no three terms in geometric progression

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