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Shkredov, Il’ya Dmitrievich

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Author ID: shkredov.ilya-d Recent zbMATH articles by "Shkredov, Il'ya Dmitrievich"
Published as: Shkredov, I. D.; Shkredov, Il’ya D.; Shkredov, Ilya; Shkredov, Ilya D.
Homepage: http://www.mi.ras.ru/~ishkredov/Papers/Papers.html
External Links: MGP · Math-Net.Ru · Wikidata · ORCID · dblp
Documents Indexed: 87 Publications since 2002
Reviewing Activity: 34 Reviews

Publications by Year

Citations contained in zbMATH

68 Publications have been cited 436 times in 184 Documents Cited by Year
New sum-product type estimates over finite fields. Zbl 1412.11018
Roche-Newton, Oliver; Rudnev, Misha; Shkredov, Ilya D.
33
2016
On sum sets of sets having small product set. Zbl 1366.11054
Konyagin, S. V.; Shkredov, I. D.
25
2015
Higher moments of convolutions. Zbl 1300.11018
Schoen, Tomasz; Shkredov, Ilya D.
24
2013
New results on sums and products in \(\mathbb{R}\). Zbl 1371.11027
Konyagin, S. V.; Shkredov, I. D.
16
2016
Growth estimates in positive characteristic via collisions. Zbl 1405.11008
Aksoy Yazici, Esen; Murphy, Brendan; Rudnev, Misha; Shkredov, Ilya
14
2017
Some new results on higher energies. Zbl 1382.11016
Shkredov, I. D.
14
2013
Some new inequalities in additive combinatorics. Zbl 1382.11017
Shkredov, Ilya D.
14
2013
On additive shifts of multiplicative subgroups. Zbl 1293.11018
V’yugin, I. V.; Shkredov, I. D.
14
2012
On sumsets on convex sets. Zbl 1306.11013
Schoen, Tomasz; Shkredov, Ilya D.
14
2011
On exponential sums over multiplicative subgroups of medium size. Zbl 1300.11085
Shkredov, I. D.
13
2014
On sums of Szemerédi-Trotter sets. Zbl 1383.11014
Shkredov, Ilya D.
12
2015
On a generalization of Szemerédi’s theorem. Zbl 1194.11024
Shkredov, I. D.
12
2006
On asymptotic formulae in some sum-product questions. Zbl 07050908
Shkredov, I. D.
11
2018
Energies and structure of additive sets. Zbl 1301.11010
Shkredov, Ilya
11
2014
Variations on the sum-product problem. Zbl 1370.11021
Murphy, Brendan; Roche-Newton, Oliver; Shkredov, Ilya
10
2015
On Heilbronn’s exponential sum. Zbl 1282.11101
Shkredov, I. D.
10
2013
New results on sum-product type growth over fields. Zbl 1429.11027
Murphy, Brendan; Petridis, Giorgis; Roche-Newton, Oliver; Rudnev, Misha; Shkredov, Ilya D.
9
2019
Difference sets are not multiplicatively closed. Zbl 1400.11074
Shkredov, Ilya D.
9
2016
Additive properties of multiplicative subgroups of \(\mathbb F_{p}\). Zbl 1271.11014
Schoen, Tomasz; Shkredov, Ilya D.
9
2012
Sumsets in quadratic residues. Zbl 1377.11012
Shkredov, I. D.
7
2014
On sets of large trigonometric sums. Zbl 1148.11040
Shkredov, I. D.
7
2008
On the restriction problem for discrete paraboloid in lower dimension. Zbl 1443.11009
Rudnev, Misha; Shkredov, Ilya D.
6
2018
Sums of multiplicative characters with additive convolutions. Zbl 1371.11127
Volostnov, A. S.; Shkredov, Ilya D.
6
2017
A quantitative version of the Beurling-Helson theorem. Zbl 1326.42005
Konyagin, S. V.; Shkredov, I. D.
6
2015
On monochromatic solutions of some nonlinear equations in \(\mathbb Z/p\mathbb Z\). Zbl 1232.05225
Shkredov, I. D.
6
2010
On sumsets of dissociated sets. Zbl 1252.11009
Shkredov, I. D.
6
2009
On sets with small doubling property. Zbl 1219.11019
Shkredov, I. D.
6
2008
On a problem of Gowers. Zbl 1149.11006
Shkredov, I. D.
6
2006
Variations on the sum-product problem. II. Zbl 1370.11022
Murphy, Brendan; Roche-Newton, Oliver; Shkredov, Ilya D.
5
2017
On tripling constant of multiplicative subgroups. Zbl 1364.11034
Shkredov, I. D.
5
2016
Roth’s theorem in many variables. Zbl 1370.11023
Schoen, Tomasz; Shkredov, Ilya D.
5
2014
Some applications of W. Rudin’s inequality to problems of combinatorial number theory. Zbl 1313.11032
Shkredov, Ilya D.
5
2011
Sets with large additive energy and symmetric sets. Zbl 1238.05281
Shkredov, I. D.; Yekhanin, Sergey
5
2011
On the Piatetskii-Shapiro criterion of normality. Zbl 1173.37302
Moshchevitin, N. G.; Shkredov, I. D.
5
2003
Stronger sum-product inequalities for small sets. Zbl 1442.11029
Rudnev, M.; Shakan, G.; Shkredov, I. D.
4
2020
On additive bases of sets with small product set. Zbl 1448.11024
Shkredov, Ilya D.; Zhelezov, Dmitrii
4
2018
An application of the sum-product phenomenon to sets avoiding several linear equations. Zbl 1431.11025
Shkredov, I. D.
4
2018
Intersections of shifts of multiplicative subgroups. Zbl 1370.11024
V’yugin, I. V.; Solodkova, E. V.; Shkredov, Ilya D.
4
2016
On the Wiener norm of subsets of \(\mathbb{Z}_p\) of medium size. Zbl 1360.43005
Konyagin, S. V.; Shkredov, I. D.
4
2016
Szemerédi’s theorem and problems on arithmetic progressions. Zbl 1178.11012
Shkredov, I. D.
4
2006
Some remarks on the asymmetric sum-product phenomenon. Zbl 07063260
Shkredov, Ilya
3
2019
Some remarks on sets with small quotient set. Zbl 1430.11019
Shkredov, Ilya D.
3
2017
Some remarks on the Balog-Wooley decomposition theorem and quantities \(D^+\), \(D^\times\). Zbl 1434.11031
Shkredov, I. D.
3
2017
On some multiple character sums. Zbl 1427.11078
Shkredov, Ilya D.; Shparlinski, Igor E.
3
2017
On a question of A. Balog. Zbl 1402.11017
Shkredov, Ilya D.
3
2016
On sets of large exponential sums. Zbl 1211.11093
Shkredov, I. D.
3
2006
On the energy variant of the sum-product conjecture. Zbl 07197359
Rudnev, Misha; Shkredov, Ilya D.; Stevens, Sophie
2
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.
2
2018
Differences of subgroups in subgroups. Zbl 1421.11015
Shkredov, I. D.
2
2018
On subgraphs of random Cayley sum graphs. Zbl 1384.05141
Konyagin, S. V.; Shkredov, I. D.
2
2018
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.
2
2017
Additive dimension and a theorem of Sanders. Zbl 1364.11022
Schoen, Tomasz; Shkredov, Ilya D.
2
2016
On the Pyatetskii-Shapiro normality criterion for continued fractions. Zbl 1297.11089
Shkredov, I. D.
2
2012
On a result of J. Bourgain. Zbl 1224.11014
Konyagin, S. V.; Shkredov, I. D.
2
2010
Examples of sets with large trigonometric sums. Zbl 1176.11038
Shkredov, I. D.
2
2007
On the multiplicative properties modulo \(m\) of numbers with missing digits. Zbl 1198.11006
Moshchevitin, N. G.; Shkredov, I. D.
2
2007
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.
2
2002
Some remarks on products of sets in the Heisenberg group and in the affine group. Zbl 07175505
Shkredov, Ilya D.
1
2020
On the few products, many sums problem. Zbl 07246528
Murphy, Brendan; Rudnev, Misha; Shkredov, Ilya; Shteinikov, Yuri
1
2019
On the size of the set \(AA+A\). Zbl 07053670
Roche-Newton, Oliver; Ruzsa, Imre Z.; Shen, Chun-yen; Shkredov, Ilya D.
1
2019
Double character sums with intervals and arbitrary sets. Zbl 07070257
Shkredov, Ilya D.; Shparlinski, Igor E.
1
2018
Packing sets over finite abelian groups. Zbl 1446.11022
Roche-Newton, Oliver; Shkredov, Ilya D.; Winterhof, Arne
1
2018
On the additive energy of the Heilbronn subgroup. Zbl 1431.11103
V’yugin, I. V.; Solodkova, E. V.; Shkredov, Ilya D.
1
2017
Kolmogorov width of discrete linear spaces: an approach to matrix rigidity. Zbl 1344.68100
Samorodnitsky, Alex; Shkredov, Ilya; Yekhanin, Sergey
1
2016
Fourier analysis in combinatorial number theory. Zbl 1270.11010
Shkredov, I. D.
1
2010
On a two-dimensional analogue of Szemerédi’s theorem in abelian groups. Zbl 1236.11016
Shkredov, I. D.
1
2009
Recurrence of incomplete quotients of continued fractions. Zbl 1063.11005
Shkredov, I. D.
1
2002
Stronger sum-product inequalities for small sets. Zbl 1442.11029
Rudnev, M.; Shakan, G.; Shkredov, I. D.
4
2020
On the energy variant of the sum-product conjecture. Zbl 07197359
Rudnev, Misha; Shkredov, Ilya D.; Stevens, Sophie
2
2020
Some remarks on products of sets in the Heisenberg group and in the affine group. Zbl 07175505
Shkredov, Ilya 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.
9
2019
Some remarks on the asymmetric sum-product phenomenon. Zbl 07063260
Shkredov, Ilya
3
2019
On the few products, many sums problem. Zbl 07246528
Murphy, Brendan; Rudnev, Misha; Shkredov, Ilya; Shteinikov, Yuri
1
2019
On the size of the set \(AA+A\). Zbl 07053670
Roche-Newton, Oliver; Ruzsa, Imre Z.; Shen, Chun-yen; Shkredov, Ilya D.
1
2019
On asymptotic formulae in some sum-product questions. Zbl 07050908
Shkredov, I. D.
11
2018
On the restriction problem for discrete paraboloid in lower dimension. Zbl 1443.11009
Rudnev, Misha; Shkredov, Ilya D.
6
2018
On additive bases of sets with small product set. Zbl 1448.11024
Shkredov, Ilya D.; Zhelezov, Dmitrii
4
2018
An application of the sum-product phenomenon to sets avoiding several linear equations. Zbl 1431.11025
Shkredov, I. D.
4
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.
2
2018
Differences of subgroups in subgroups. Zbl 1421.11015
Shkredov, I. D.
2
2018
On subgraphs of random Cayley sum graphs. Zbl 1384.05141
Konyagin, S. V.; Shkredov, I. D.
2
2018
Double character sums with intervals and arbitrary sets. Zbl 07070257
Shkredov, Ilya D.; Shparlinski, Igor E.
1
2018
Packing sets over finite abelian groups. Zbl 1446.11022
Roche-Newton, Oliver; Shkredov, Ilya D.; Winterhof, Arne
1
2018
Growth estimates in positive characteristic via collisions. Zbl 1405.11008
Aksoy Yazici, Esen; Murphy, Brendan; Rudnev, Misha; Shkredov, Ilya
14
2017
Sums of multiplicative characters with additive convolutions. Zbl 1371.11127
Volostnov, A. S.; Shkredov, Ilya D.
6
2017
Variations on the sum-product problem. II. Zbl 1370.11022
Murphy, Brendan; Roche-Newton, Oliver; Shkredov, Ilya D.
5
2017
Some remarks on sets with small quotient set. Zbl 1430.11019
Shkredov, Ilya D.
3
2017
Some remarks on the Balog-Wooley decomposition theorem and quantities \(D^+\), \(D^\times\). Zbl 1434.11031
Shkredov, I. D.
3
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.
2
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.
33
2016
New results on sums and products in \(\mathbb{R}\). Zbl 1371.11027
Konyagin, S. V.; Shkredov, I. D.
16
2016
Difference sets are not multiplicatively closed. Zbl 1400.11074
Shkredov, Ilya D.
9
2016
On tripling constant of multiplicative subgroups. Zbl 1364.11034
Shkredov, I. D.
5
2016
Intersections of shifts of multiplicative subgroups. Zbl 1370.11024
V’yugin, I. V.; Solodkova, E. V.; Shkredov, Ilya D.
4
2016
On the Wiener norm of subsets of \(\mathbb{Z}_p\) of medium size. Zbl 1360.43005
Konyagin, S. V.; Shkredov, I. D.
4
2016
On a question of A. Balog. Zbl 1402.11017
Shkredov, Ilya D.
3
2016
Additive dimension and a theorem of Sanders. Zbl 1364.11022
Schoen, Tomasz; Shkredov, Ilya D.
2
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.
25
2015
On sums of Szemerédi-Trotter sets. Zbl 1383.11014
Shkredov, Ilya D.
12
2015
Variations on the sum-product problem. Zbl 1370.11021
Murphy, Brendan; Roche-Newton, Oliver; Shkredov, Ilya
10
2015
A quantitative version of the Beurling-Helson theorem. Zbl 1326.42005
Konyagin, S. V.; Shkredov, I. D.
6
2015
On exponential sums over multiplicative subgroups of medium size. Zbl 1300.11085
Shkredov, I. D.
13
2014
Energies and structure of additive sets. Zbl 1301.11010
Shkredov, Ilya
11
2014
Sumsets in quadratic residues. Zbl 1377.11012
Shkredov, I. D.
7
2014
Roth’s theorem in many variables. Zbl 1370.11023
Schoen, Tomasz; Shkredov, Ilya D.
5
2014
Higher moments of convolutions. Zbl 1300.11018
Schoen, Tomasz; Shkredov, Ilya D.
24
2013
Some new results on higher energies. Zbl 1382.11016
Shkredov, I. D.
14
2013
Some new inequalities in additive combinatorics. Zbl 1382.11017
Shkredov, Ilya D.
14
2013
On Heilbronn’s exponential sum. Zbl 1282.11101
Shkredov, I. D.
10
2013
On additive shifts of multiplicative subgroups. Zbl 1293.11018
V’yugin, I. V.; Shkredov, I. D.
14
2012
Additive properties of multiplicative subgroups of \(\mathbb F_{p}\). Zbl 1271.11014
Schoen, Tomasz; Shkredov, Ilya D.
9
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.
14
2011
Some applications of W. Rudin’s inequality to problems of combinatorial number theory. Zbl 1313.11032
Shkredov, Ilya D.
5
2011
Sets with large additive energy and symmetric sets. Zbl 1238.05281
Shkredov, I. D.; Yekhanin, Sergey
5
2011
On monochromatic solutions of some nonlinear equations in \(\mathbb Z/p\mathbb Z\). Zbl 1232.05225
Shkredov, I. D.
6
2010
On a result of J. Bourgain. Zbl 1224.11014
Konyagin, S. V.; Shkredov, I. D.
2
2010
Fourier analysis in combinatorial number theory. Zbl 1270.11010
Shkredov, I. D.
1
2010
On sumsets of dissociated sets. Zbl 1252.11009
Shkredov, I. D.
6
2009
On a two-dimensional analogue of Szemerédi’s theorem in abelian groups. Zbl 1236.11016
Shkredov, I. D.
1
2009
On sets of large trigonometric sums. Zbl 1148.11040
Shkredov, I. D.
7
2008
On sets with small doubling property. Zbl 1219.11019
Shkredov, I. D.
6
2008
Examples of sets with large trigonometric sums. Zbl 1176.11038
Shkredov, I. D.
2
2007
On the multiplicative properties modulo \(m\) of numbers with missing digits. Zbl 1198.11006
Moshchevitin, N. G.; Shkredov, I. D.
2
2007
On a generalization of Szemerédi’s theorem. Zbl 1194.11024
Shkredov, I. D.
12
2006
On a problem of Gowers. Zbl 1149.11006
Shkredov, I. D.
6
2006
Szemerédi’s theorem and problems on arithmetic progressions. Zbl 1178.11012
Shkredov, I. D.
4
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.
5
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.
2
2002
Recurrence of incomplete quotients of continued fractions. Zbl 1063.11005
Shkredov, I. D.
1
2002
all top 5

Cited by 156 Authors

44 Shkredov, Il’ya Dmitrievich
19 Shparlinski, Igor E.
10 Roche-Newton, Oliver
9 Pham Van Thang
8 Rudnev, Misha
8 Sanders, Tom
7 Koh, Doowon
6 Konyagin, Sergeĭ Vladimirovich
6 Murphy, Brendan
5 Garaev, Moubariz Z.
5 Petridis, Giorgis
5 Vinh, Le Anh
4 Hegyvári, Norbert
4 Hennecart, François
4 Iosevich, Alex
4 Schoen, Tomasz
4 Shen, Chun-Yen
4 Shteĭnikov, Yuriĭ Nikolaevich
4 Vyugin, Ilya V.
3 Elsholtz, Christian
3 Lewko, Mark
3 Macourt, Simon
3 Mohammadi, Ali
3 Ol’mezov, K. I.
3 Raz, Orit E.
3 Sharir, Micha
3 Solymosi, József
3 Winterhof, Arne
3 Yau, Kam-hung
3 Zhelezov, Dmitry
2 Bloom, Thomas F.
2 Chen, Changhao
2 Chen, Zhixiong
2 Cilleruelo, Javier
2 Fox, Jacob
2 Garcia, Stephan Ramon
2 García, Victor Cuauhtemoc
2 Kerr, Bryce
2 Laity, Joel
2 Lund, Ben D.
2 Mirzaei, Mozhgan
2 Mojarrad, Hossein Nassajian
2 Shakan, George
2 Shani, Barak
2 Solodkova, E. V.
2 Uvakin, Artem A.
2 Vandehey, Joseph
2 Volostnov, A. S.
1 Ada, Anil
1 Airey, Dylan
1 Akiyama, Shigeki
1 Alon, Noga M.
1 Banks, William D.
1 Barba, Luis Felipe
1 Basit, Abdul
1 Bateman, Michael D.
1 Bergelson, Vitaly
1 Bienvenu, Pierre-Yves
1 Blackburn, Simon R.
1 Boshernitzan, Michael D.
1 Bush, Albert
1 Candela, Pablo
1 Cardinal, Jean-Paul
1 Chaika, Jonathan
1 Chang, Mei-Chu
1 Chattopadhyay, Arkadev
1 Chestnut, Stephen R.
1 Conlon, David
1 Croot, Ernie
1 De Zeeuw, Frank
1 Di Benedetto, Daniel
1 Dietmann, Rainer
1 Dong, Dong
1 Dumitrescu, Adrian
1 Fawzi, Omar
1 Feng, Min
1 Fish, Alexander
1 Gabdullin, Mikhail R.
1 Galbraith, Steven D.
1 Glibichuk, A. A.
1 González-Sánchez, Diego
1 Graham, Ronald L.
1 Grochow, Joshua A.
1 Güloğlu, Ahmet Muhtar
1 Guth, Lawrence David
1 Hanson, Brandon
1 Harper, Adam J.
1 Helfgott, Harald Andrés
1 Hildebrand, Robert
1 Hosseini, Kaave
1 Iacono, John
1 Ji, Yong
1 Kalmynin, A. B.
1 Kaneko, Hajime
1 Karpinski, Marek
1 Katz, Nets Hawk
1 Kim, Donghan
1 Kovač, Vjekoslav
1 Łaba, Izabella
1 Langerman, Stefan
...and 56 more Authors
all top 5

Cited in 69 Serials

17 Mathematical Notes
15 Journal of Number Theory
10 Proceedings of the Steklov Institute of Mathematics
8 Proceedings of the American Mathematical Society
7 SIAM Journal on Discrete Mathematics
7 Finite Fields and their Applications
6 Israel Journal of Mathematics
6 Journal of Combinatorial Theory. Series A
5 Mathematika
5 International Journal of Number Theory
5 Moscow Journal of Combinatorics and Number Theory
4 Bulletin of the Australian Mathematical Society
4 Acta Arithmetica
4 European Journal of Combinatorics
3 Transactions of the American Mathematical Society
3 Combinatorica
3 Forum Mathematicum
3 Sbornik: Mathematics
3 Annals of Mathematics. Second Series
2 Discrete Applied Mathematics
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Analysis and Applications
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Transactions of the Moscow Mathematical Society
2 Discrete & Computational Geometry
2 Revista Matemática Iberoamericana
2 Designs, Codes and Cryptography
2 Bulletin of the American Mathematical Society. New Series
2 Journal de Théorie des Nombres de Bordeaux
2 Journal of Mathematical Sciences (New York)
2 Integers
1 American Mathematical Monthly
1 Discrete Mathematics
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Canadian Journal of Mathematics
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Functiones et Approximatio. Commentarii Mathematici
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series B
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Ergodic Theory and Dynamical Systems
1 Acta Mathematica Hungarica
1 Journal of Complexity
1 Journal of the American Mathematical Society
1 Computational Geometry
1 Geometric and Functional Analysis. GAFA
1 Computational Complexity
1 Experimental Mathematics
1 Applied and Computational Harmonic Analysis
1 The Electronic Journal of Combinatorics
1 The Journal of Fourier Analysis and Applications
1 Doklady Mathematics
1 The Ramanujan Journal
1 Chicago Journal of Theoretical Computer Science
1 Annals of Combinatorics
1 Journal of the Australian Mathematical Society
1 Stochastics and Dynamics
1 Chebyshevskiĭ Sbornik
1 Japanese Journal of Mathematics. 3rd Series
1 Science China. Information Sciences
1 Forum of Mathematics, Sigma
1 Arnold Mathematical Journal

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