On common energies and sumsets

2024/08/15 by Ilya D. Shkredov, Shkredov, Ilya D.
Computer Science · Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Graph Labeling and Dimension Problems #Graph theory and applications #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2408.08113

openalex publication_date 2024/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain a polynomial criterion for a set to have a small doubling in terms of the common energy of its subsets.

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