New results on sums and products in ℝ

Author:

Konyagin S. V.,Shkredov I. D.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference11 articles.

1. A. Balog and T. D. Wooley, “A low-energy decomposition theorem,” arXiv: 1510.03309v1 [math.NT].

2. P. Erd˝os and E. Szemerédi, “On sums and products of integers, ” in Studies in Pure Mathematics: To the Memory of Paul Turán (Birkhäuser, Basel, 1983), pp. 213–218.

3. N. H. Katz and P. Koester, “On additive doubling and energy, ” SIAM J. Discrete Math. 24, 1684–1693 (2010).

4. S. V. Konyagin and I. D. Shkredov, “On sum sets of sets having small product set, ” Tr. Mat. Inst. im. V.A. Steklova, Ross. Akad. Nauk 290, 304–316 (2015) [Proc. Steklov Inst. Math. 290, 288–299 (2015)].

5. O. E. Raz, O. Roche-Newton, and M. Sharir, “Sets with few distinct distances do not have heavy lines, ” Discrete Math. 338 (8), 1484–1492 (2015); arXiv: 1410.1654v1 [math.CO].

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