Discrete spheres and arithmetic progressions in product sets

DOI10.4064/aa8332-11-2016zbMath1428.11025arXiv1510.05411OpenAlexW2962953679MaRDI QIDQ2985915

Dmitrii Zhelezov

Publication date: 10 May 2017

Published in: Acta Arithmetica, International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05411

zbMATH Keywords

polynomialsproduct setsarithmetic progressionsmultiplicative basisprime factors

Mathematics Subject Classification ID

Arithmetic progressions (11B25) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (3)

On integer sequences in product sets ⋮ Discrete spheres and arithmetic progressions in product sets ⋮ On sets with small additive doubling in product sets

Cites Work

• Unnamed Item
• A bound on the multiplicative energy of a sum set and extremal sum-product problems
• Cycles of even length in graphs
• On congruences with products of variables from short intervals and applications
• On sets with small additive doubling in product sets
• Discrete spheres and arithmetic progressions in product sets
• The sum-product phenomenon in arbitrary rings
• Product sets cannot contain long arithmetic progressions

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