Edit Profile (opens in new tab) Shkredov, Il’ya Dmitrievich Co-Author Distance Author ID: shkredov.ilya-d Published as: Shkredov, I. D.; Shkredov, Ilya D.; Shkredov, Ilya; Shkredov, Il’ya D. more...less Homepage: http://www.mi.ras.ru/~ishkredov/Papers/Papers.html External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp Videos: carmin.tv Documents Indexed: 138 Publications since 2002, including 26 Additional arXiv Preprints Reviewing Activity: 55 Reviews Co-Authors: 40 Co-Authors with 68 Joint Publications 1,226 Co-Co-Authors all top 5 Co-Authors 70 single-authored 10 Schoen, Tomasz 9 Rudnev, Misha 8 Roche-Newton, Oliver 8 Shparlinski, Igor E. 7 Konyagin, Sergeĭ Vladimirovich 7 Murphy, Brendan 5 Moshchevitin, Nikolaĭ Germanovich 4 Vyugin, Ilya V. 3 Solodkova, Elena V. 3 Solymosi, József 3 Yekhanin, Sergey 3 Zaharescu, Alexandru 2 Fish, Alexander 2 Lev, Vsevolod F. 2 Macourt, Simon 2 Ol’mezov, Konstantin I. 2 Petridis, Giorgis 2 Samorodnitsky, Alex 2 Semchankau, Aliaksei S. 2 Shakan, George 2 Winterhof, Arne 2 Zhelezov, Dmitry 1 Aksoy Yazici, Esen 1 Bienvenu, Pierre-Yves 1 Björklund, Michael 1 Hanson, Brandon 1 Hennecart, François 1 Jiang, Leo 1 Kerr, Bryce 1 Klurman, Oleksiy 1 Raz, Orit E. 1 Ruzsa, Imre Z. 1 Semchenkov, A. S. 1 Shabanov, Dmitry A. 1 Sharir, Micha 1 Shen, Chun-Yen 1 Shteinikov, Yuri 1 Stevens, Sophie 1 Volostnov, Aleksei S. 1 Xu, Max Wenqiang all top 5 Serials 10 Mathematical Notes 7 Proceedings of the Steklov Institute of Mathematics 6 Russian Mathematical Surveys 6 Sbornik: Mathematics 5 Journal of Number Theory 5 SIAM Journal on Discrete Mathematics 4 Finite Fields and their Applications 4 Integers 3 Canadian Journal of Mathematics 3 Mathematika 3 IMRN. International Mathematics Research Notices 3 Izvestiya: Mathematics 3 Moscow Journal of Combinatorics and Number Theory 2 Analysis Mathematica 2 Israel Journal of Mathematics 2 Advances in Mathematics 2 Pacific Journal of Mathematics 2 Transactions of the Moscow Mathematical Society 2 European Journal of Combinatorics 2 Revista Matemática Iberoamericana 2 Journal of Mathematical Sciences (New York) 2 Doklady Mathematics 2 The Quarterly Journal of Mathematics 1 Discrete Mathematics 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Acta Arithmetica 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Ergodic Theory and Dynamical Systems 1 Combinatorica 1 Acta Mathematica Hungarica 1 Forum Mathematicum 1 Computational Geometry 1 Geometric and Functional Analysis. GAFA 1 Computational Complexity 1 Journal of Algebraic Combinatorics 1 Journal de Théorie des Nombres de Bordeaux 1 Combinatorics, Probability and Computing 1 The Electronic Journal of Combinatorics 1 Journal of the Australian Mathematical Society 1 International Journal of Number Theory 1 Online Journal of Analytic Combinatorics 1 Uniform Distribution Theory 1 Journal de l’École Polytechnique – Mathématiques 1 Discrete Analysis all top 5 Fields 102 Number theory (11-XX) 26 Combinatorics (05-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Group theory and generalizations (20-XX) 6 Measure and integration (28-XX) 6 Convex and discrete geometry (52-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 942 times in 392 Documents Cited by ▼ Year ▼ New sum-product type estimates over finite fields. Zbl 1412.11018 Roche-Newton, Oliver; Rudnev, Misha; Shkredov, Ilya D. 42 2016 On sum sets of sets having small product set. Zbl 1366.11054 Konyagin, S. V.; Shkredov, I. D. 40 2015 Higher moments of convolutions. Zbl 1300.11018 Schoen, Tomasz; Shkredov, Ilya D. 38 2013 New results on sums and products in \(\mathbb{R}\). Zbl 1371.11027 Konyagin, S. V.; Shkredov, I. D. 35 2016 New results on sum-product type growth over fields. Zbl 1429.11027 Murphy, Brendan; Petridis, Giorgis; Roche-Newton, Oliver; Rudnev, Misha; Shkredov, Ilya D. 34 2019 Some new results on higher energies. Zbl 1382.11016 Shkredov, I. D. 34 2013 On sumsets on convex sets. Zbl 1306.11013 Schoen, Tomasz; Shkredov, Ilya D. 32 2011 On the energy variant of the sum-product conjecture. Zbl 1477.11021 Rudnev, Misha; Shkredov, Ilya D.; Stevens, Sophie 27 2020 On asymptotic formulae in some sum-product questions. Zbl 1473.11034 Shkredov, I. D. 26 2018 On additive shifts of multiplicative subgroups. Zbl 1293.11018 V’yugin, I. V.; Shkredov, I. D. 25 2012 Growth estimates in positive characteristic via collisions. Zbl 1405.11008 Aksoy Yazici, Esen; Murphy, Brendan; Rudnev, Misha; Shkredov, Ilya 25 2017 On sums of Szemerédi-Trotter sets. Zbl 1383.11014 Shkredov, Ilya D. 22 2015 Some new inequalities in additive combinatorics. Zbl 1382.11017 Shkredov, Ilya D. 21 2013 On a generalization of Szemerédi’s theorem. Zbl 1194.11024 Shkredov, I. D. 20 2006 Variations on the sum-product problem. Zbl 1370.11021 Murphy, Brendan; Roche-Newton, Oliver; Shkredov, Ilya 20 2015 Modular hyperbolas and bilinear forms of Kloosterman sums. Zbl 1461.11030 Shkredov, I. D. 19 2021 On the few products, many sums problem. Zbl 1454.11025 Murphy, Brendan; Rudnev, Misha; Shkredov, Ilya; Shteinikov, Yuri 18 2019 On exponential sums over multiplicative subgroups of medium size. Zbl 1300.11085 Shkredov, I. D. 18 2014 Energies and structure of additive sets. Zbl 1301.11010 Shkredov, Ilya 17 2014 On a problem of Gowers. Zbl 1149.11006 Shkredov, I. D. 16 2006 Stronger sum-product inequalities for small sets. Zbl 1442.11029 Rudnev, M.; Shakan, G.; Shkredov, I. D. 15 2020 On the restriction problem for discrete paraboloid in lower dimension. Zbl 1443.11009 Rudnev, Misha; Shkredov, Ilya D. 14 2018 Sumsets in quadratic residues. Zbl 1377.11012 Shkredov, I. D. 14 2014 Difference sets are not multiplicatively closed. Zbl 1400.11074 Shkredov, Ilya D. 13 2016 Some remarks on the asymmetric sum-product phenomenon. Zbl 1454.11029 Shkredov, Ilya 13 2019 On sets of large trigonometric sums. Zbl 1148.11040 Shkredov, I. D. 11 2008 Additive properties of multiplicative subgroups of \(\mathbb F_{p}\). Zbl 1271.11014 Schoen, Tomasz; Shkredov, Ilya D. 11 2012 On monochromatic solutions of some nonlinear equations in \(\mathbb Z/p\mathbb Z\). Zbl 1232.05225 Shkredov, I. D. 11 2010 Popular products and continued fractions. Zbl 1450.11007 Moshchevitin, Nikolay; Murphy, Brendan; Shkredov, Ilya 11 2020 On a modular form of Zaremba’s conjecture. Zbl 1500.11058 Moshchevitin, Nikolay G.; Shkredov, Ilya D. 11 2020 Multiplicative energy of shifted subgroups and bounds on exponential sums with trinomials in finite fields. Zbl 1448.11213 Macourt, Simon; Shkredov, Ilya D.; Shparlinski, Igor E. 11 2018 Some remarks on the Balog-Wooley decomposition theorem and quantities \(D^+\), \(D^\times\). Zbl 1434.11031 Shkredov, I. D. 10 2017 Roth’s theorem in many variables. Zbl 1370.11023 Schoen, Tomasz; Shkredov, Ilya D. 10 2014 Variations on the sum-product problem. II. Zbl 1370.11022 Murphy, Brendan; Roche-Newton, Oliver; Shkredov, Ilya D. 10 2017 On subgraphs of random Cayley sum graphs. Zbl 1384.05141 Konyagin, S. V.; Shkredov, I. D. 9 2018 Some remarks on sets with small quotient set. Zbl 1430.11019 Shkredov, Ilya D. 9 2017 On the Piatetskii-Shapiro criterion of normality. Zbl 1173.37302 Moshchevitin, N. G.; Shkredov, I. D. 9 2003 Sets with large additive energy and symmetric sets. Zbl 1238.05281 Shkredov, I. D.; Yekhanin, Sergey 9 2011 On Heilbronn’s exponential sum. Zbl 1282.11101 Shkredov, I. D. 9 2013 Sums of multiplicative characters with additive convolutions. Zbl 1371.11127 Volostnov, A. S.; Shkredov, Ilya D. 9 2017 Szemerédi’s theorem and problems on arithmetic progressions. Zbl 1178.11012 Shkredov, I. D. 8 2006 On additive bases of sets with small product set. Zbl 1448.11024 Shkredov, Ilya D.; Zhelezov, Dmitrii 8 2018 On the random Chowla conjecture. Zbl 1534.11100 Klurman, Oleksiy; Shkredov, Ilya D.; Xu, Max Wenqiang 8 2023 On sumsets of dissociated sets. Zbl 1252.11009 Shkredov, I. D. 7 2009 On sets with small doubling property. Zbl 1219.11019 Shkredov, I. D. 7 2008 A quantitative version of the Beurling-Helson theorem. Zbl 1326.42005 Konyagin, S. V.; Shkredov, I. D. 7 2015 On the Wiener norm of subsets of \(\mathbb{Z}_p\) of medium size. Zbl 1360.43005 Konyagin, S. V.; Shkredov, I. D. 6 2016 On tripling constant of multiplicative subgroups. Zbl 1364.11034 Shkredov, I. D. 6 2016 On the growth rate in \(\mathrm{SL}_2(\mathbb{F}_p)\), the affine group and sum-product type implications. Zbl 1543.11014 Rudnev, Misha; Shkredov, Ilya D. 6 2022 On a question of A. Balog. Zbl 1402.11017 Shkredov, Ilya D. 6 2016 Additive dimension and a theorem of Sanders. Zbl 1364.11022 Schoen, Tomasz; Shkredov, Ilya D. 6 2016 On a two-dimensional analogue of Szemerédi’s theorem in abelian groups. Zbl 1236.11016 Shkredov, I. D. 5 2009 Some applications of W. Rudin’s inequality to problems of combinatorial number theory. Zbl 1313.11032 Shkredov, Ilya D. 5 2011 Small doubling in prime-order groups: from 2.4 to 2.6. Zbl 1470.11259 Lev, Vsevolod F.; Shkredov, Ilya D. 5 2020 Growth in Chevalley groups relatively to parabolic subgroups and some applications. Zbl 1523.11023 Shkredov, Ilya D. 5 2022 An application of the sum-product phenomenon to sets avoiding several linear equations. Zbl 1431.11025 Shkredov, I. D. 4 2018 Fourier analysis in combinatorial number theory. Zbl 1270.11010 Shkredov, I. D. 4 2010 On an application of higher energies to Sidon sets. Zbl 07745878 Shkredov, I. D. 4 2023 A note on the set \(A(A + A)\). Zbl 1446.11020 Bienvenu, Pierre-Yves; Hennecart, François; Shkredov, Ilya 4 2019 On the size of the set \(AA+A\). Zbl 1464.11018 Roche-Newton, Oliver; Ruzsa, Imre Z.; Shen, Chun-yen; Shkredov, Ilya D. 4 2019 Double character sums with intervals and arbitrary sets. Zbl 1459.11166 Shkredov, Ilya D.; Shparlinski, Igor E. 4 2018 Intersections of shifts of multiplicative subgroups. Zbl 1370.11024 V’yugin, I. V.; Solodkova, E. V.; Shkredov, Ilya D. 4 2016 Bilinear forms with modular square roots and twisted second moments of half integral weight Dirichlet series. Zbl 1516.11039 Shkredov, Ilya D.; Shparlinski, Igor E.; Zaharescu, Alexandru 4 2022 On some problems of Euclidean Ramsey theory. Zbl 1349.05334 Shkredov, I. D. 4 2015 The uniformity conjecture in additive combinatorics. Zbl 1494.11012 Shkredov, Ilya; Solymosi, Jozsef 3 2021 Recurrence in mean. Zbl 1029.37008 Shkredov, I. D. 3 2002 Differences of subgroups in subgroups. Zbl 1421.11015 Shkredov, I. D. 3 2018 On sets of large exponential sums. Zbl 1211.11093 Shkredov, I. D. 3 2006 Any small multiplicative subgroup is not a sumset. Zbl 1457.11017 Shkredov, I. D. 3 2020 Some remarks on products of sets in the Heisenberg group and in the affine group. Zbl 1475.11020 Shkredov, Ilya D. 3 2020 On some multiple character sums. Zbl 1427.11078 Shkredov, Ilya D.; Shparlinski, Igor E. 3 2017 Non-commutative methods in additive combinatorics and number theory. Zbl 1491.11017 Shkredov, Ilya D. 3 2021 On the number of unit-area triangles spanned by convex grids in the plane. Zbl 1365.65043 Raz, Orit E.; Sharir, Micha; Shkredov, Ilya D. 3 2017 On the spectral gap and the diameter of Cayley graphs. Zbl 1494.05055 Shkredov, I. D. 3 2021 Packing sets over finite abelian groups. Zbl 1446.11022 Roche-Newton, Oliver; Shkredov, Ilya D.; Winterhof, Arne 3 2018 If \(A + A\) is small then \(AAA\) is superquadratic. Zbl 1459.11028 Roche-Newton, Oliver; Shkredov, Ilya D. 3 2019 On the multiplicative properties modulo \(m\) of numbers with missing digits. Zbl 1198.11006 Moshchevitin, N. G.; Shkredov, I. D. 2 2007 Examples of sets with large trigonometric sums. Zbl 1176.11038 Shkredov, I. D. 2 2007 An upper bound for weak \(B_k\)-sets. Zbl 1447.11012 Schoen, Tomasz; Shkredov, Ilya D. 2 2019 Bounds of trilinear and trinomial exponential sums. Zbl 1452.11017 Macourt, Simon; Petridis, Giorgis; Shkredov, Ilya D.; Shparlinski, Igor E. 2 2020 On some additive problems associated with the exponential function. Zbl 1096.11004 Shkredov, I. D. 2 2003 On the Pyatetskii-Shapiro normality criterion for continued fractions. Zbl 1297.11089 Shkredov, I. D. 2 2012 On popular sums and differences for sets with small multiplicative doubling. Zbl 1453.11020 Ol’mezov, K. I.; Semchenkov, A. S.; Shkredov, I. D. 2 2020 On sums and products of combinatorial cubes. Zbl 1487.11011 Shkredov, I. D. 2 2022 Number of \(A + B \neq C\) solutions in abelian groups and application to counting independent sets in hypergraphs. Zbl 1480.05129 Semchankau, Aliaksei; Shabanov, Dmitry; Shkredov, Ilya 2 2022 Sets of transfer times with small densities. (Ensembles de temps de transfert avec petites densités.) Zbl 1467.37002 Björklund, Michael; Fish, Alexander; Shkredov, Ilya D. 1 2021 Recurrence of incomplete quotients of continued fractions. Zbl 1063.11005 Shkredov, I. D. 1 2002 Kolmogorov width of discrete linear spaces: an approach to matrix rigidity. Zbl 1344.68100 Samorodnitsky, Alex; Shkredov, Ilya; Yekhanin, Sergey 1 2016 Tilted corners in integer grids. Zbl 1528.05069 Shkredov, I. D.; Solymosi, J. 1 2021 A remark on sets with small Wiener norm. Zbl 1442.11030 Shkredov, I. D. 1 2020 On the additive energy of the Heilbronn subgroup. Zbl 1431.11103 V’yugin, I. V.; Solodkova, E. V.; Shkredov, Ilya D. 1 2017 A short remark on the multiplicative energy of the spectrum. Zbl 1431.11135 Shkredov, Il’ya D. 1 2019 Structure theorems in additive combinatorics. Zbl 1393.11008 Shkredov, I. D. 1 2015 On a girth-free variant of the Bourgain-Gamburd machine. Zbl 1533.11029 Shkredov, I. D. 1 2023 On the random Chowla conjecture. Zbl 1534.11100 Klurman, Oleksiy; Shkredov, Ilya D.; Xu, Max Wenqiang 8 2023 On an application of higher energies to Sidon sets. Zbl 07745878 Shkredov, I. D. 4 2023 On a girth-free variant of the Bourgain-Gamburd machine. Zbl 1533.11029 Shkredov, I. D. 1 2023 On the growth rate in \(\mathrm{SL}_2(\mathbb{F}_p)\), the affine group and sum-product type implications. Zbl 1543.11014 Rudnev, Misha; Shkredov, Ilya D. 6 2022 Growth in Chevalley groups relatively to parabolic subgroups and some applications. Zbl 1523.11023 Shkredov, Ilya D. 5 2022 Bilinear forms with modular square roots and twisted second moments of half integral weight Dirichlet series. Zbl 1516.11039 Shkredov, Ilya D.; Shparlinski, Igor E.; Zaharescu, Alexandru 4 2022 On sums and products of combinatorial cubes. Zbl 1487.11011 Shkredov, I. D. 2 2022 Number of \(A + B \neq C\) solutions in abelian groups and application to counting independent sets in hypergraphs. Zbl 1480.05129 Semchankau, Aliaksei; Shabanov, Dmitry; Shkredov, Ilya 2 2022 Modular hyperbolas and bilinear forms of Kloosterman sums. Zbl 1461.11030 Shkredov, I. D. 19 2021 The uniformity conjecture in additive combinatorics. Zbl 1494.11012 Shkredov, Ilya; Solymosi, Jozsef 3 2021 Non-commutative methods in additive combinatorics and number theory. Zbl 1491.11017 Shkredov, Ilya D. 3 2021 On the spectral gap and the diameter of Cayley graphs. Zbl 1494.05055 Shkredov, I. D. 3 2021 Sets of transfer times with small densities. (Ensembles de temps de transfert avec petites densités.) Zbl 1467.37002 Björklund, Michael; Fish, Alexander; Shkredov, Ilya D. 1 2021 Tilted corners in integer grids. Zbl 1528.05069 Shkredov, I. D.; Solymosi, J. 1 2021 On the energy variant of the sum-product conjecture. Zbl 1477.11021 Rudnev, Misha; Shkredov, Ilya D.; Stevens, Sophie 27 2020 Stronger sum-product inequalities for small sets. Zbl 1442.11029 Rudnev, M.; Shakan, G.; Shkredov, I. D. 15 2020 Popular products and continued fractions. Zbl 1450.11007 Moshchevitin, Nikolay; Murphy, Brendan; Shkredov, Ilya 11 2020 On a modular form of Zaremba’s conjecture. Zbl 1500.11058 Moshchevitin, Nikolay G.; Shkredov, Ilya D. 11 2020 Small doubling in prime-order groups: from 2.4 to 2.6. Zbl 1470.11259 Lev, Vsevolod F.; Shkredov, Ilya D. 5 2020 Any small multiplicative subgroup is not a sumset. Zbl 1457.11017 Shkredov, I. D. 3 2020 Some remarks on products of sets in the Heisenberg group and in the affine group. Zbl 1475.11020 Shkredov, Ilya D. 3 2020 Bounds of trilinear and trinomial exponential sums. Zbl 1452.11017 Macourt, Simon; Petridis, Giorgis; Shkredov, Ilya D.; Shparlinski, Igor E. 2 2020 On popular sums and differences for sets with small multiplicative doubling. Zbl 1453.11020 Ol’mezov, K. I.; Semchenkov, A. S.; Shkredov, I. D. 2 2020 A remark on sets with small Wiener norm. Zbl 1442.11030 Shkredov, I. D. 1 2020 New results on sum-product type growth over fields. Zbl 1429.11027 Murphy, Brendan; Petridis, Giorgis; Roche-Newton, Oliver; Rudnev, Misha; Shkredov, Ilya D. 34 2019 On the few products, many sums problem. Zbl 1454.11025 Murphy, Brendan; Rudnev, Misha; Shkredov, Ilya; Shteinikov, Yuri 18 2019 Some remarks on the asymmetric sum-product phenomenon. Zbl 1454.11029 Shkredov, Ilya 13 2019 A note on the set \(A(A + A)\). Zbl 1446.11020 Bienvenu, Pierre-Yves; Hennecart, François; Shkredov, Ilya 4 2019 On the size of the set \(AA+A\). Zbl 1464.11018 Roche-Newton, Oliver; Ruzsa, Imre Z.; Shen, Chun-yen; Shkredov, Ilya D. 4 2019 If \(A + A\) is small then \(AAA\) is superquadratic. Zbl 1459.11028 Roche-Newton, Oliver; Shkredov, Ilya D. 3 2019 An upper bound for weak \(B_k\)-sets. Zbl 1447.11012 Schoen, Tomasz; Shkredov, Ilya D. 2 2019 A short remark on the multiplicative energy of the spectrum. Zbl 1431.11135 Shkredov, Il’ya D. 1 2019 On asymptotic formulae in some sum-product questions. Zbl 1473.11034 Shkredov, I. D. 26 2018 On the restriction problem for discrete paraboloid in lower dimension. Zbl 1443.11009 Rudnev, Misha; Shkredov, Ilya D. 14 2018 Multiplicative energy of shifted subgroups and bounds on exponential sums with trinomials in finite fields. Zbl 1448.11213 Macourt, Simon; Shkredov, Ilya D.; Shparlinski, Igor E. 11 2018 On subgraphs of random Cayley sum graphs. Zbl 1384.05141 Konyagin, S. V.; Shkredov, I. D. 9 2018 On additive bases of sets with small product set. Zbl 1448.11024 Shkredov, Ilya D.; Zhelezov, Dmitrii 8 2018 An application of the sum-product phenomenon to sets avoiding several linear equations. Zbl 1431.11025 Shkredov, I. D. 4 2018 Double character sums with intervals and arbitrary sets. Zbl 1459.11166 Shkredov, Ilya D.; Shparlinski, Igor E. 4 2018 Differences of subgroups in subgroups. Zbl 1421.11015 Shkredov, I. D. 3 2018 Packing sets over finite abelian groups. Zbl 1446.11022 Roche-Newton, Oliver; Shkredov, Ilya D.; Winterhof, Arne 3 2018 Growth estimates in positive characteristic via collisions. Zbl 1405.11008 Aksoy Yazici, Esen; Murphy, Brendan; Rudnev, Misha; Shkredov, Ilya 25 2017 Some remarks on the Balog-Wooley decomposition theorem and quantities \(D^+\), \(D^\times\). Zbl 1434.11031 Shkredov, I. D. 10 2017 Variations on the sum-product problem. II. Zbl 1370.11022 Murphy, Brendan; Roche-Newton, Oliver; Shkredov, Ilya D. 10 2017 Some remarks on sets with small quotient set. Zbl 1430.11019 Shkredov, Ilya D. 9 2017 Sums of multiplicative characters with additive convolutions. Zbl 1371.11127 Volostnov, A. S.; Shkredov, Ilya D. 9 2017 On some multiple character sums. Zbl 1427.11078 Shkredov, Ilya D.; Shparlinski, Igor E. 3 2017 On the number of unit-area triangles spanned by convex grids in the plane. Zbl 1365.65043 Raz, Orit E.; Sharir, Micha; Shkredov, Ilya D. 3 2017 On the additive energy of the Heilbronn subgroup. Zbl 1431.11103 V’yugin, I. V.; Solodkova, E. V.; Shkredov, Ilya D. 1 2017 New sum-product type estimates over finite fields. Zbl 1412.11018 Roche-Newton, Oliver; Rudnev, Misha; Shkredov, Ilya D. 42 2016 New results on sums and products in \(\mathbb{R}\). Zbl 1371.11027 Konyagin, S. V.; Shkredov, I. D. 35 2016 Difference sets are not multiplicatively closed. Zbl 1400.11074 Shkredov, Ilya D. 13 2016 On the Wiener norm of subsets of \(\mathbb{Z}_p\) of medium size. Zbl 1360.43005 Konyagin, S. V.; Shkredov, I. D. 6 2016 On tripling constant of multiplicative subgroups. Zbl 1364.11034 Shkredov, I. D. 6 2016 On a question of A. Balog. Zbl 1402.11017 Shkredov, Ilya D. 6 2016 Additive dimension and a theorem of Sanders. Zbl 1364.11022 Schoen, Tomasz; Shkredov, Ilya D. 6 2016 Intersections of shifts of multiplicative subgroups. Zbl 1370.11024 V’yugin, I. V.; Solodkova, E. V.; Shkredov, Ilya D. 4 2016 Kolmogorov width of discrete linear spaces: an approach to matrix rigidity. Zbl 1344.68100 Samorodnitsky, Alex; Shkredov, Ilya; Yekhanin, Sergey 1 2016 On sum sets of sets having small product set. Zbl 1366.11054 Konyagin, S. V.; Shkredov, I. D. 40 2015 On sums of Szemerédi-Trotter sets. Zbl 1383.11014 Shkredov, Ilya D. 22 2015 Variations on the sum-product problem. Zbl 1370.11021 Murphy, Brendan; Roche-Newton, Oliver; Shkredov, Ilya 20 2015 A quantitative version of the Beurling-Helson theorem. Zbl 1326.42005 Konyagin, S. V.; Shkredov, I. D. 7 2015 On some problems of Euclidean Ramsey theory. Zbl 1349.05334 Shkredov, I. D. 4 2015 Structure theorems in additive combinatorics. Zbl 1393.11008 Shkredov, I. D. 1 2015 On exponential sums over multiplicative subgroups of medium size. Zbl 1300.11085 Shkredov, I. D. 18 2014 Energies and structure of additive sets. Zbl 1301.11010 Shkredov, Ilya 17 2014 Sumsets in quadratic residues. Zbl 1377.11012 Shkredov, I. D. 14 2014 Roth’s theorem in many variables. Zbl 1370.11023 Schoen, Tomasz; Shkredov, Ilya D. 10 2014 Higher moments of convolutions. Zbl 1300.11018 Schoen, Tomasz; Shkredov, Ilya D. 38 2013 Some new results on higher energies. Zbl 1382.11016 Shkredov, I. D. 34 2013 Some new inequalities in additive combinatorics. Zbl 1382.11017 Shkredov, Ilya D. 21 2013 On Heilbronn’s exponential sum. Zbl 1282.11101 Shkredov, I. D. 9 2013 On additive shifts of multiplicative subgroups. Zbl 1293.11018 V’yugin, I. V.; Shkredov, I. D. 25 2012 Additive properties of multiplicative subgroups of \(\mathbb F_{p}\). Zbl 1271.11014 Schoen, Tomasz; Shkredov, Ilya D. 11 2012 On the Pyatetskii-Shapiro normality criterion for continued fractions. Zbl 1297.11089 Shkredov, I. D. 2 2012 On sumsets on convex sets. Zbl 1306.11013 Schoen, Tomasz; Shkredov, Ilya D. 32 2011 Sets with large additive energy and symmetric sets. Zbl 1238.05281 Shkredov, I. D.; Yekhanin, Sergey 9 2011 Some applications of W. Rudin’s inequality to problems of combinatorial number theory. Zbl 1313.11032 Shkredov, Ilya D. 5 2011 On monochromatic solutions of some nonlinear equations in \(\mathbb Z/p\mathbb Z\). Zbl 1232.05225 Shkredov, I. D. 11 2010 Fourier analysis in combinatorial number theory. Zbl 1270.11010 Shkredov, I. D. 4 2010 On sumsets of dissociated sets. Zbl 1252.11009 Shkredov, I. D. 7 2009 On a two-dimensional analogue of Szemerédi’s theorem in abelian groups. Zbl 1236.11016 Shkredov, I. D. 5 2009 On sets of large trigonometric sums. Zbl 1148.11040 Shkredov, I. D. 11 2008 On sets with small doubling property. Zbl 1219.11019 Shkredov, I. D. 7 2008 On the multiplicative properties modulo \(m\) of numbers with missing digits. Zbl 1198.11006 Moshchevitin, N. G.; Shkredov, I. D. 2 2007 Examples of sets with large trigonometric sums. Zbl 1176.11038 Shkredov, I. D. 2 2007 On a generalization of Szemerédi’s theorem. Zbl 1194.11024 Shkredov, I. D. 20 2006 On a problem of Gowers. Zbl 1149.11006 Shkredov, I. D. 16 2006 Szemerédi’s theorem and problems on arithmetic progressions. Zbl 1178.11012 Shkredov, I. D. 8 2006 On sets of large exponential sums. Zbl 1211.11093 Shkredov, I. D. 3 2006 On the Piatetskii-Shapiro criterion of normality. Zbl 1173.37302 Moshchevitin, N. G.; Shkredov, I. D. 9 2003 On some additive problems associated with the exponential function. Zbl 1096.11004 Shkredov, I. D. 2 2003 Recurrence in mean. Zbl 1029.37008 Shkredov, I. D. 3 2002 Recurrence of incomplete quotients of continued fractions. Zbl 1063.11005 Shkredov, I. D. 1 2002 all cited Publications top 5 cited Publications all top 5 Cited by 325 Authors 66 Shkredov, Il’ya Dmitrievich 37 Shparlinski, Igor E. 24 Roche-Newton, Oliver 23 Pham Van Thang 19 Koh, Doowon 14 Rudnev, Misha 11 Shen, Chun-Yen 10 Sanders, Tom 10 Vinh, Le Anh 9 Petridis, Giorgis 8 Hanson, Brandon 8 Iosevich, Alex 8 Konyagin, Sergeĭ Vladimirovich 8 Mohammadi, Ali 8 Murphy, Brendan 8 Schoen, Tomasz 8 Warren, Audie 7 Kerr, Bryce 7 Macourt, Simon 7 Solymosi, József 6 Garaev, Moubariz Z. 6 Shteĭnikov, Yuriĭ Nikolaevich 6 Stevens, Sophie 6 Xu, Max Wenqiang 6 Zhelezov, Dmitry 5 Hegyvári, Norbert 5 Lev, Vsevolod F. 4 Hennecart, François 4 Kan, Igor D. 4 Kovač, Vjekoslav 4 Lund, Ben D. 4 Ol’mezov, Konstantin I. 4 Ruzsa, Imre Z. 4 Winterhof, Arne 3 Bloom, Thomas F. 3 Bush, Albert 3 Chen, Changhao 3 Elsholtz, Christian 3 Guth, Lawrence David 3 Lee, Sujin 3 Lewko, Mark 3 Mudgal, Akshat 3 Peluse, Sarah 3 Prendiville, Sean M. 3 Raz, Orit E. 3 Shakan, George 3 Sharir, Micha 3 Tait, Michael 3 Vandehey, Joseph 3 Volostnov, Aleksei S. 3 Wheeler, James T. 3 Wu, Hai-Liang 3 Yau, Kam-hung 3 Yip, Chi Hoi 2 Aistleitner, Christoph 2 Ayadi, Khalil 2 Baker, Roger C. 2 Bhowmick, Krishnendu 2 Biswas, Arindam 2 Bradshaw, Peter J. 2 Cameron, Peter Jephson 2 Chang, Mei-Chu 2 Chen, Zhixiong 2 Cilleruelo, Javier 2 Cochrane, Todd 2 De Zeeuw, Frank 2 Di Benedetto, Daniel 2 Dumitrescu, Adrian 2 Durcik, Polona 2 Fish, Alexander 2 Fox, Jacob 2 Garcia, Stephan Ramon 2 García, Victor Cuauhtemoc 2 González-Sánchez, Diego 2 Ham, Le Quang 2 Laity, Joel 2 Le, Anh Vinh 2 Ma, Xuanlong 2 Makhul, Mehdi 2 Mance, Bill 2 Mirzaei, Mozhgan 2 Mojarrad, Hossein Nassajian 2 Moshchevitin, Nikolaĭ Germanovich 2 Munsch, Marc 2 Ostafe, Alina 2 Saha, Jyoti Prakash 2 Semchankau, Aliaksei S. 2 Senger, Steven 2 Shani, Barak 2 She, Yue-Feng 2 Sisask, Olof 2 Solodkova, Elena V. 2 Spencer, Craig V. 2 Szemerédi, Endre 2 Tamizh Chelvam, Thirugnanam 2 Tao, Terence 2 Thang Pham 2 The, Nguyen Van 2 Tran, Phuc D. 2 Uvakin, Artem A. ...and 225 more Authors all top 5 Cited in 104 Serials 24 Journal of Number Theory 22 Mathematical Notes 16 Finite Fields and their Applications 14 SIAM Journal on Discrete Mathematics 13 The Electronic Journal of Combinatorics 11 Mathematika 10 Acta Arithmetica 10 Journal of the London Mathematical Society. Second Series 10 European Journal of Combinatorics 10 Proceedings of the Steklov Institute of Mathematics 9 Proceedings of the American Mathematical Society 9 Combinatorica 8 Israel Journal of Mathematics 8 International Journal of Number Theory 7 Discrete Mathematics 7 Journal of Combinatorial Theory. Series A 6 Journal d’Analyse Mathématique 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Canadian Journal of Mathematics 6 Forum Mathematicum 6 Integers 5 Bulletin of the Australian Mathematical Society 5 Journal of Mathematical Analysis and Applications 5 Bulletin of the London Mathematical Society 5 Sbornik: Mathematics 5 Moscow Journal of Combinatorics and Number Theory 5 Discrete Analysis 4 Advances in Mathematics 4 Pacific Journal of Mathematics 4 Transactions of the American Mathematical Society 4 Acta Mathematica Hungarica 4 Discrete & Computational Geometry 4 Chebyshevskiĭ Sbornik 3 Discrete Applied Mathematics 3 Journal of Functional Analysis 3 Mathematische Annalen 3 Proceedings of the London Mathematical Society. Third Series 3 Revista Matemática Iberoamericana 3 Designs, Codes and Cryptography 3 Annals of Mathematics. Second Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Canadian Mathematical Bulletin 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Functiones et Approximatio. Commentarii Mathematici 2 Functional Analysis and its Applications 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Transactions of the Moscow Mathematical Society 2 Ergodic Theory and Dynamical Systems 2 Geometric and Functional Analysis. GAFA 2 Bulletin of the American Mathematical Society. New Series 2 Experimental Mathematics 2 Journal of Algebraic Combinatorics 2 Journal de Théorie des Nombres de Bordeaux 2 Journal of Mathematical Sciences (New York) 2 The Journal of Fourier Analysis and Applications 2 The Ramanujan Journal 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Algebra & Number Theory 2 Transactions of the American Mathematical Society. Series B 2 Algebraic Combinatorics 1 American Mathematical Monthly 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series B 1 Le Matematiche 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Graphs and Combinatorics 1 Journal of Complexity 1 Journal of the American Mathematical Society 1 Computational Geometry 1 Computational Complexity 1 Applied and Computational Harmonic Analysis 1 Electronic Journal of Probability 1 Doklady Mathematics 1 Theory of Computing Systems 1 Chicago Journal of Theoretical Computer Science 1 Annals of Combinatorics 1 Journal of the Australian Mathematical Society 1 Stochastics and Dynamics 1 Oberwolfach Reports 1 Online Journal of Analytic Combinatorics 1 Uniform Distribution Theory 1 Analysis & PDE 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics 1 Science China. Information Sciences 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Forum of Mathematics, Pi ...and 4 more Serials all top 5 Cited in 27 Fields 327 Number theory (11-XX) 88 Combinatorics (05-XX) 50 Convex and discrete geometry (52-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 25 Group theory and generalizations (20-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Geometry (51-XX) 12 Information and communication theory, circuits (94-XX) 11 Computer science (68-XX) 10 Measure and integration (28-XX) 7 Abstract harmonic analysis (43-XX) 6 Probability theory and stochastic processes (60-XX) 4 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Field theory and polynomials (12-XX) 3 Integral transforms, operational calculus (44-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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