Sums and Products of Distinct Sets and Distinct Elements in ℂ

2009/02/20 by Karsten Chipeniuk, Chipeniuk, Karsten
Mathematics · #05A99 #11P99 #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Graph theory and applications #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0902.3506

openalex publication_date 2009/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let A and B be finite subsets of ℂ such that |B|=C|A|. We show the following variant of the sum product phenomenon: If |AB|

Citations

• Linear Equations in Variables which Lie in a Multiplicative Group

Related

• An improved estimate on sums of product sets
• On the density of sumsets and product sets
• On sum-product bases
• On the discretised ABC sum-product problem
• Nonstandard proof of combined sum and product structure in IP^* sets