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On sum sets of sets having small product set
Multi angle
Authors : Konyagin, Sergei V. (Author of the conference)
CIRM (Publisher )
11B13 - Additive bases, including sumsets
11B75 - Combinatorial number theory
11B30 - Arithmetic combinatorics; higher degree uniformity
CIRM (Publisher )
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Abstract :
We improve a result of Solymosi on sum-products in $\mathbb{R}$, namely, we prove that max $(|A+A|,|AA|\gg |A|^{4/3+c}$, where $c>0$ is an absolute constant. New lower bounds for sums of sets with small product set are found. Previous results are improved effectively for sets $A\subset \mathbb{R}$ with $|AA| \le |A|^{4/3}$. Joint work with I. D. Schkredov.
MSC Codes : 11B13 - Additive bases, including sumsets
11B75 - Combinatorial number theory
11B30 - Arithmetic combinatorics; higher degree uniformity
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 06/10/15 Conference Date : 10/09/15 Subseries : Research talks arXiv category : Combinatorics ; Number Theory Mathematical Area(s) : Combinatorics ; Number Theory Format : MP4 (.mp4) - HD Video Time : 00:23:53 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-09-10_Konyagin.mp4 
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Information on the Event
Event Title : Additive combinatorics in Marseille / Combinatoire additive à MarseilleEvent Organizers : Hennecart, François ; Plagne, Alain ; Szemerédi, Endre Dates : 07/09/15 - 11/09/15 Event Year : 2015 Event URL : http://conferences.cirm-math.fr/1107.html
Citation Data
DOI : 10.24350/CIRM.V.18830303Cite this video as: Konyagin, Sergei V. (2015). On sum sets of sets having small product set. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18830303 URI : http://dx.doi.org/10.24350/CIRM.V.18830303 |
Bibliography
- Konyagin, S., & Shkredov, I.D. (2015). On sum sets of sets, having small product set.
