2016/02/10 by Sergeĭ Konyagin, Konyagin, Sergei, Ilya D. Shkredov +1
Mathematics · #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Limits and Structures in Graph Theory #Mathematical Approximation and Integration #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.1602.03473
openalex publication_date 2016/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We improve a previous sum--products estimates in R, namely, we obtain that max|A+A|,|AA| ≫ |A|4/3+c, where c any number less than 5/9813. New lower bounds for sums of sets with small the product set are found. Also we prove some pure energy sum--products results, improving a result of Balog and Wooley, in particular.