On sum sets of sets having small product set | Vidéo | Carmin.tv

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On sum sets of sets having small product set

By Sergei V. Konyagin

Appears in collections : Additive combinatorics in Marseille / Combinatoire additive à Marseille, Exposés de recherche

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.

Information about the video

Date of recording 10/09/2015
Date of publication 06/10/2015
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18830303
Cite this video Konyagin, Sergei V. (10/09/2015). On sum sets of sets having small product set. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18830303
URL https://dx.doi.org/10.24350/CIRM.V.18830303

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Bibliography

Konyagin, S., & Shkredov, I.D. (2015). On sum sets of sets, having small product set. <arXiv:1503.05771> - http://arxiv.org/abs/1503.05771

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