I. D. Shkredov, “Modular hyperbolas and bilinear forms of Kloosterman sums”, J. Number Theory, 220 (2021), 182–211;
2020
2.
I. D. Shkredov, “A remark on sets with small Wiener norm”, Trigonometric Sums and Their Applications, eds. Raigorodskii A., Rassias M. (eds), Springer, Cham, 2020, 261–272
3.
I. D. Shkredov, “Any small multiplicative sugroup is not a sumset”, Finite Fields Appl., 63 (2020), 101645 , 15 pp. (cited: 1) (cited: 1);
4.
M. Rudnev, G. Shakan, I. D. Shkredov, “Stronger sum-product inequalities for small sets”, Proc. Amer. Math. Soc., 148 (2020), 1467–1479 (cited: 2) (cited: 10);
5.
Misha Rudnev, Ilya D. Shkredov, Sophie Stevens, “On the energy variant of the sum-product conjecture”, Rev. Mat. Iberoam., 36:1 (2020), 207–232 (cited: 2) (cited: 24);
6.
T. Schoen, I. D. Shkredov, “$L$-functions and sum-free sets”, Acta Math. Hung., 161 (2020), 427–442;
7.
K. I. Olmezov, A. S. Semchankau, I. D. Shkredov, “On Popular Sums and Differences for Sets with Small Multiplicative Doubling”, Math. Notes, 108:4 (2020), 557–565
8.
Vsevolod F. Lev, Ilya D. Shkredov, “Small doubling in prime-order groups: from 2.4 to 2.6”, J. Number Theory, 217 (2020), 278–291;
9.
Nikolay Moshchevitin, Brendan Murphy, Ilya Shkredov, “Popular products and continued fractions”, Israel J. Math., 238 (2020), 807–835 (cited: 1) (cited: 1);
10.
Simon Macourt, Giorgis Petridis, Ilya D. Shkredov, Igor E. Shparlinski, “Bounds of Trilinear and Trinomial Exponential Sums”, SIAM J. Discrete Math., 34:4 (2020), 2124–2136;
11.
N. G. Moshchevitin, I. D. Shkredov, “On a modular form of Zarembas conjecture”, Pacific J. of Math., 309:1 (2020), 195–211
2019
12.
Ilya D. Shkredov, “Some remarks on the asymmetric sum–product phenomenon”, Moscow J. Combin. Number Theory, 8:1 (2019), 15–41 (cited: 5)
13.
I. D. Shkredov, “A Short Remark on the Multiplicative Energy of the Spectrum”, Math. Notes, 105:3-4 (2019), 449–457
14.
Oliver Roche-Newton, Ilya D. Shkredov, “If $A+A$ is small then $AAA$ is superquadratic”, J. Number Theory, 201 (2019), 124–134 (cited: 1) (cited: 1)
15.
Oliver Roche-Newton, Imre Z. Ruzsa, Chun-Yen Shen, Ilya D. Shkredov, “On the size of the set $AA+A$”, J. London Math. Soc., 99:2 (2019), 477–494 (cited: 1) (cited: 1)
16.
T. Schoen, I. D. Shkredov, “An upper bound for weak $B_k$–sets”, SIAM J. Discrete Math., 33:2 (2019), 837–844
17.
Brendan Murphy, Giorgis Petridis, Oliver Roche-Newton, Misha Rudnev, Ilya D. Shkredov, “New results on sum-product type growth over fields”, Mathematika, 65:3 (2019), 588–642 (cited: 7) (cited: 25)
18.
Ilya D. Shkredov, “Some remarks on products of sets in the Heisenberg group and in the affine group”, Forum Math., 32:1 (2019), 189–200 (cited: 2) ;
19.
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;
20.
B. Murphy, M. Rudnev, I. D. Shkredov, Yu. N. Shteinikov, “On the few products, many sums problem”, J. Théor. Nombres Bordx., 31:3 (2019), 573–602 (cited: 1) (cited: 13);
2018
21.
I. D. Shkredov, “An application of the sum-product phenomenon to sets avoiding several linear equations”, Sb. Math., 209:4 (2018), 580–603 (cited: 2) (cited: 3)
22.
S.V. Konyagin, I.D. Shkredov, “On subgraphs of random Cayley sum graphs”, European J. Combin., 70 (2018), 61–74 , arXiv: 1710.07230 (cited: 1) (cited: 2)
23.
I.D. Shkredov, “Differences of subgroups in subgroups”, Int. J. Number Theory, 14:4 (2018), 1111–1134 , arXiv: 1508.03814 (cited: 1) (cited: 5)
24.
Ilya D. Shkredov, Dmitrii Zhelezov, “On additive bases of sets with small product set”, Int. Math. Res. Not. IMRN, 2018:5 (2018), 1585–1599 (cited: 5) (cited: 7)
25.
I. D. Shkredov, I. E. Shparlinski, “Double character sums with intervals and arbitrary sets”, Proc. Steklov Inst. Math., 303 (2018), 239–258 (cited: 2) (cited: 2)
26.
Misha Rudnev, Ilya D. Shkredov, “On the restriction problem for discrete paraboloid in lower dimension”, Adv. Math., 339 (2018), 657–671 (cited: 6) (cited: 5)
27.
Oliver Roche-Newton, Ilya D. Shkredov, Arne Winterhof, “Packing sets over finite abelian groups”, Integers, 18 (2018), A38 , 9 pp.
28.
I. D. Shkredov, “On asymptotic formulae in some sum-product questions”, Trans. Moscow Math. Soc., 2018, 231–281 (cited: 16)
29.
Simon Macourt, Ilya D. Shkredov, Igor E. Shparlinski, “Multiplicative energy of shifted subgroups and bounds on exponential sums with trinomials in finite fields”, Can. J. Math., 70:6 (2018), 1319–1338 (cited: 5) (cited: 8)
30.
Garmonicheskii analiz, teoriya priblizhenii i teoriya chisel, Sbornik statei. K 60-letiyu so dnya rozhdeniya akademika Sergeya Vladimirovicha Konyagina, Tr. MIAN, 303, ed. B. S. Kashin, Yu. V. Malykhin, V. Yu. Protasov, I. D. Shkredov, K. S. Ryutin, MAIK «Nauka/Interperiodika», M., 2018 , 287 pp.
31.
B. S. Kashin, Yu. V. Malykhin, V. Yu. Protasov, K. S. Ryutin, I. D. Shkredov, “Sergei Vladimirovich Konyagin turns 60”, Proc. Steklov Inst. Math., 303 (2018), 1–9
2017
32.
I. V. Vyugin, E. V. Solodkova, I. D. Shkredov, “On the Additive Energy of the Heilbronn Subgroup”, Math. Notes, 101:1 (2017), 58–70
33.
Orit E. Raz, Micha Sharir, Ilya D. Shkredov, “On the number of unit-area triangles spanned by convex grids in the plane”, Comput. Geom., 62:1 (2017), 25–33 (cited: 1) (cited: 2)
34.
A. S. Volostnov, I. D. Shkredov, “Sums of Multiplicative Characters with Additive Convolutions”, Proc. Steklov Inst. Math., 296 (2017), 256–269 (cited: 7) (cited: 7) (cited: 7)
35.
I. D. Shkredov, “Some remarks on sets with small quotient set”, Sb. Math., 208:12 (2017), 1854–1868 (cited: 6) (cited: 6)
36.
I. D. Shkredov, “Some Remarks on the Balog–Wooley Decomposition Theorem and Quantities $D^{+}$, $D^\times$”, Proc. Steklov Inst. Math., 298, suppl. 1 (2017), 74–90 (cited: 1) (cited: 4)
Ilya D. Shkredov, Igor E. Shparlinski, “On some multiple character sums”, Mathematika, 53:2 (2017), 553–560 (cited: 3) (cited: 3)
39.
B. Murphy, O. Roche-Newton, I. D. Shkredov, “Variations on the sum-product problem II”, SIAM J. Discrete Math., 31:3 (2017), 1878–1894 , arXiv: 1703.09549 (cited: 6) (cited: 12)
2016
40.
Tomasz Schoen, Ilya D. Shkredov, “Additive dimension and a theorem of sanders”, J. Aust. Math. Soc., 100:1 (2016), 124–144 (cited: 3) (cited: 2)
41.
S. V. Konyagin, I. D. Shkredov, New results on sum–products in $\mathbb R$, 2016 , 18 pp., arXiv: 1602.03473
42.
Ilya D. Shkredov, “On a question of A. Balog”, Pacific J. Math., 280:1 (2016), 227–240 (cited: 6) (cited: 7)
43.
Oliver Roche-Newton, Misha Rudnev, Ilya D. Shkredov, “New sum-product type estimates over finite fields”, Adv. Math., 293 (2016), 589–605 (cited: 4) (cited: 33) (cited: 41)
44.
Alex Samorodnitsky, Ilya Shkredov, Sergey Yekhanin, “Kolmogorov width of discrete linear spaces: An approach to matrix rigidity”, Comput. Complexity, 25:2 (2016), 309–348
45.
I. V. Vyugin, E. V. Solodkova, I. D. Shkredov, “Intersections of Shifts of Multiplicative Subgroups”, Math. Notes, 100:2 (2016), 189–198 (cited: 2) (cited: 2)
46.
S. V. Konyagin, I. D. Shkredov, “New results on sums and products in $\mathbb R$”, Proc. Steklov Inst. Math., 294 (2016), 78–88 (cited: 23) (cited: 24)
47.
I. D. Shkredov, “Erratum to: On some problems of Euclidean Ramsey theory”, Anal. Math., 42:3 (2016), 295
48.
I. D. Shkredov, Some remarks on sets with small quotient set, 2016 , 14 pp., arXiv: 1603.04948v2
49.
Shkredov, I. D., “Difference sets are not multiplicatively closed”, Discrete Anal., 2016, 17 , 21 pp. (cited: 12)
50.
I.D. Shkredov, “On tripling constant of multiplicative subgroups”, Integers, 16 (2016), 75 , 9 pp.
51.
Tomasz Schoen, Ilya D. Shkredov, “A remark on $A+B$ and $A-A$ for compact sets in $\mathbb R^n$”, Integers, 16 (2016), 60 , 4 pp.
2015
52.
I. D. Shkredov, “Structure theorems in additive combinatorics”, Russian Math. Surveys, 70:1 (2015), 113–163
53.
Brendan Murphy, Oliver Roche-Newton, Ilya Shkredov, “Variations on the sum-product problem”, SIAM J. Discrete Math., 29:1 (2015), 514–540 (cited: 1) (cited: 16) (cited: 1) (cited: 18)
54.
I. D. Shkredov, “On Sums of Szemerédi–Trotter Sets”, Proc. Steklov Inst. Math., 289 (2015), 300–309 (cited: 10) (cited: 11)
55.
S. V. Konyagin, I. D. Shkredov, “A quantitative version of the Beurling-Helson theorem”, Funct. Anal. Appl., 49:2 (2015), 110–121 (cited: 4) (cited: 5)
56.
S. V. Konyagin, I. D. Shkredov, “On Sum Sets of Sets Having Small Product Set”, Proc. Steklov Inst. Math., 290 (2015), 288–299 (cited: 33) (cited: 29)
57.
I. D. Shkredov, “On some problems of Euclidean Ramsey theory”, Anal. Math., 41:4 (2015), 299–310 (cited: 1)
2014
58.
T. Schoen, I. D. Shkredov, “Roth's theorem in many variables”, Israel J. Math., 199:1 (2014), 287–308 , arXiv: 1106.1601v1 (cited: 7) (cited: 7)
59.
I. D. Shkredov, “Sumsets in quadratic residues”, Acta Arith., 164:3 (2014), 221–243 , arXiv: 1305.4093v1 (cited: 15) (cited: 3) (cited: 14)
60.
I. D. Shkredov, “On exponential sums over multiplicative subgroups of medium size”, Finite Fields Appl., 30 (2014), 72–87 (cited: 17) (cited: 8) (cited: 16)
61.
I. Shkredov, “Energies and structure of additive sets”, Electron. J. Combin., 21:3 (2014), P3.44 , 53 pp. (cited: 13)
2016
62.
S. V. Konyagin, I. D. Shkredov, “On the Wiener norm of subsets of $\mathbb Z_p$ of medium size”, J. Math. Sci., 218:5 (2016), 599–608 (cited: 3) (cited: 3)
2013
63.
T. Schoen, I. D. Shkredov, “Higher moments of convolutions”, J. Number Theory, 133 (2013), 1693–1737 (cited: 27) (cited: 15) (cited: 33)
64.
I. D. Shkredov, On exponential sums over multiplicative subgroups of medium size, 2013 , 14 pp., arXiv: 1311.5726
65.
I. D. Shkredov, New bounds for Heilbronn's exponential sum, 2013 , 14 pp., arXiv: 1302.3839
66.
I. D. Shkredov, “Some new results on higher energies”, Trans. Moscow Math. Soc., 2013 (2013), 31–63 (cited: 20)
67.
I. D. Shkredov, “On Heilbronn's exponential sum”, Q. J. Math., 64:4 (2013), 1221–1230 (cited: 10) (cited: 7) (cited: 11)
68.
I. D. Shkredov, “Some new inequalities in additive combinatorics”, Moscow J. Combin. Number Theory, 3:3 (2013), 189–239 , arXiv: 1208.2344v3
2012
69.
I. D. Shkredov, T. Schoen, “Additive properties of multiplicative subgroups of $F_p$”, Quart. J. Math., 63:3 (2012), 713–722 (cited: 16) (cited: 11) (cited: 18)
70.
I. V. Vyugin, I. D. Shkredov, “On additive shifts of multiplicative subgroups”, Sb. Math., 203:6 (2012), 844–863 (cited: 21) (cited: 6) (cited: 6) (cited: 8)
71.
I. D. Shkredov, “On the Gowers Norms of Certain Functions”, Math. Notes, 92:4 (2012), 554–569
2011
72.
I. D. Shkredov, S. Yekhanin, “Sets with large additive energy and symmetric sets”, J. Combin. Theory Ser. A, 118:3 (2011), 1086–1093 (cited: 6) (cited: 3) (cited: 5)
73.
I. D. Shkredov, T. Schoen, “On sumsets of convex sets”, Comb. Probab. Comput., 20 (2011), 793–798 (cited: 21) (cited: 16) (cited: 29)
I. D. Shkredov, “On Monochromatic Solutions of Some Nonlinear Equations in $\mathbb Z/p\mathbb Z$”, Math. Notes, 88:4 (2010), 603–611 (cited: 8) (cited: 6) (cited: 6) (cited: 8)
76.
I. D. Shkredov, “Fourier analysis in combinatorial number theory”, Russian Math. Surveys, 65:3 (2010), 513–567 (cited: 2) (cited: 1) (cited: 1) (cited: 2)
2012
77.
I. D. Shkredov, “On the Pyatetskii-Shapiro normality criterion for continued fractions”, J. Math. Sci., 182:4 (2012), 567–575 (cited: 2)
2010
78.
S. V. Konyagin, I. D. Shkredov, “On one result of J. Bourgain”, Ukr. Math. J., 62:3 (2010), 380–419
2009
79.
I. D. Shkredov, “On a two-dimensional analogue of Szemerédi's theorem in Abelian groups”, Izv. Math., 73:5 (2009), 1033–1075 (cited: 2) (cited: 2) (cited: 2) (cited: 3)
80.
I. D. Shkredov, “On sumsets of dissociated sets”, Online J. Anal. Comb., 2009, no. 4, Art. 4 , 26 pp.
81.
I. D. Shkredov, “Obratnaya teorema dlya $U^3()$-normy”, Sovremennye problemy matematiki i mekhaniki. Matematika. Dinamicheskie sistemy, v. 4, Izd-vo Mosk. un-ta, M., 2009, 55–127
2008
82.
I. D. Shkredov, “On sets of large trigonometric sums”, Izv. Math., 72:1 (2008), 149–168 (cited: 6) (cited: 5) (cited: 5) (cited: 5)
83.
I. D. Shkredov, “On Sets with Small Doubling Property”, Math. Notes, 84:6 (2008), 859–878 (cited: 2)
2007
84.
N. G. Moshchevitin, I. D. Shkredov, “On the Multiplicative Properties Modulo $m$ of Numbers with Missing Digits”, Math. Notes, 81:3 (2007), 338–355 (cited: 1)
85.
I. D. Shkredov, “Examples of sets with large trigonometric sums”, Sb. Math., 198:12 (2007), 1805–1838 (cited: 2) (cited: 2)
2006
86.
I. D. Shkredov, “On a problem of Gowers”, Izv. Math., 70:2 (2006), 385–425 (cited: 10) (cited: 5) (cited: 5) (cited: 6)
87.
I. D. Shkredov, “Szemerédi's theorem and problems on arithmetic progressions”, Russian Math. Surveys, 61:6 (2006), 1101–1166 (cited: 9) (cited: 6) (cited: 6) (cited: 7)
88.
I. D. Shkredov, “Dynamical systems with low recurrence rate”, Sb. Math., 197:11 (2006), 1697–1712 (cited: 1)
89.
I. D. Shkredov, “On sets of large exponential sums”, Dokl. Math., 74:3 (2006), 860–864 (cited: 4) (cited: 2)
90.
I. D. Shkredov, “On a generalization of Szemerédi's theorem”, Proc. London Math. Soc. (3), 93:3 (2006), 723–760 (cited: 18) (cited: 12) (cited: 15)
2005
91.
I. D. Shkredov, “On a generalization of Szemerédi's theorem”, Dokl. Math., 72:3 (2005), 899–902 (cited: 2) (cited: 1) (cited: 1) (cited: 1)
92.
I. D. Shkredov, “On a problem of Gowers”, Dokl. Math., 71:1 (2005), 46–48 (cited: 5) (cited: 1) (cited: 1)
2003
93.
N. G. Moshchevitin, I. D. Shkredov, “On the Pyatetskii-Shapiro Criterion of Normality”, Math. Notes, 73:4 (2003), 539–550 (cited: 3) (cited: 1) (cited: 5)
94.
I. D. Shkredov, “Some additive problems connected with exponential functions”, Russian Math. Surveys, 58:4 (2003), 798–799 (cited: 2) (cited: 1)
2002
95.
I. D. Shkredov, “Recurrence in Mean”, Math. Notes, 72:4 (2002), 576–582 (cited: 8) (cited: 6)
96.
I. D. Shkredov, “Recurrence of incomplete quotients of continued fractions”, Russian Math. Surveys, 57:4 (2002), 819–821 (cited: 1) (cited: 1) (cited: 1)
On subgraphs of random Cayley sum graphs S. V. Konyagin, I. D. Shkredov Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2018 November 21, 2018 14:30
О случайных графах Кэли S. V. Konyagin, I. D. Shkredov Contemporary Problems in Number Theory October 26, 2017 12:45
57.
On the sum-product phenomenon I. D. Shkredov General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences October 2, 2017 13:00
Great shocks: on Number Theory in XXI th century I. D. Shkredov, S. V. Konyagin International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin October 11, 2016 12:30
Некоторые задачи аддитивной комбинаторики I. D. Shkredov Conference of Professors of the RAS in the Department of Mathematical Sciences of the Russian Academy of Sciences June 14, 2016 13:40
Characters sums with additive convolutions I. D. Shkredov Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications January 28, 2016 17:00
Количественная версия теоремы Берлинга–Хелсона S. V. Konyagin, V. V. Lebedev, I. D. Shkredov Traditional winter session MIAN–POMI devoted to the topic "Harmonic Analysis and Theory of Functions" December 24, 2013 11:15
Combinatorial numbers theory I. D. Shkredov General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences January 26, 2009 13:00
117.
О двумерном обобщении теоремы Семереди I. D. Shkredov Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS October 10, 2006
Books in Math-Net.Ru
Harmonic analysis, approximation theory, and number theory, Collected papers. Dedicated to Academician Sergei Vladimirovich Konyagin on the occasion of his 60th birthday, Tr. Mat. Inst. Steklova, 303, ed. B. S. Kashin, Yu. V. Malykhin, V. Yu. Protasov, I. D. Shkredov, K. S. Ryutin, 2018, 287 с. http://mi.mathnet.ru/book1734
2021
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