The fourth author was supported by grant Russian Scientific Foundation RSF 14-11-00433.
Поступила в редакцию: 30.04.2016 Исправленный вариант: 07.09.2016 Принята в печать: 09.09.2016
Реферативные базы данных:
Тип публикации:
Статья
Язык публикации: английский
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/imrn4
Эта публикация цитируется в следующих 11 статьяx:
И. Д. Шкредов, “Короткое замечание о мультипликативной энергии спектра”, Матем. заметки, 105:3 (2019), 444–454; I. D. Shkredov, “A Short Remark on the Multiplicative Energy of the Spectrum”, Math. Notes, 105:3-4 (2019), 449–457
Pierre-Yves Bienvenu, François Hennecart, Ilya Shkredov, “A note on the set $A(A+A)$”, Moscow J. Combin. Number Theory, 8:2 (2019), 179–188
Oliver Roche-Newton, Igor E. Shparlinski, Arne Winterhof, “Analogues of the Balog–Wooley Decomposition for Subsets of Finite Fields and Character Sums with Convolutions”, Ann. Comb., 23:1 (2019), 183
Ilya D. Shkredov, “Some remarks on the asymmetric sum–product phenomenon”, Moscow J. Combin. Number Theory, 8:1 (2019), 15–41
Norbert Hegyvári, François Hennecart, “Expansion for cubes in the Heisenberg group”, Forum Mathematicum, 30:1 (2018), 227
Misha Rudnev, “On the Number of Incidences Between Points and Planes in Three Dimensions”, Combinatorica, 38:1 (2018), 219
Doowon Koh, Hossein Mojarrad, Thang Pham, Claudiu Valculescu, “Four-variable expanders over the prime fields”, Proc. Amer. Math. Soc., 146:12 (2018), 5025
Ilya D. Shkredov, Igor E. Shparlinski, “On some multiple character sums”, Mathematika, 53:2 (2017), 553–560
Brendan Murphy, Giorgis Petridis, Springer Proceedings in Mathematics & Statistics, 220, Combinatorial and Additive Number Theory II, 2017, 215
Michael Bennett, Derrick Hart, Alex Iosevich, Jonathan Pakianathan, Misha Rudnev, “Group actions and geometric combinatorics in 𝔽qd$\mathbb{F}_{q}^{d}$”, Forum Mathematicum, 29:1 (2017), 91
Giorgis Petridis, “Pinned algebraic distances determined by Cartesian products in 𝔽_{𝕡}²”, Proc. Amer. Math. Soc., 145:11 (2017), 4639