Ilya D. Shkredov

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Person:261191

Available identifiers

zbMath Open shkredov.ilya-dWikidataQ30345007 ScholiaQ30345007MaRDI QIDQ261191

List of research outcomes

PublicationDate of PublicationType
On the distribution of modular square roots of primes2024-02-20Paper
Direct and inverse results for popular differences in trees of positive dimension2024-01-24Paper
On the multiplicative Chung-Diaconis-Graham process2024-01-12Paper
The popularity gap2024-01-08Paper
On an application of higher energies to Sidon sets2023-10-04Paper
On the growth rate in SL2(Fp)${\rm SL_2}(\mathbb {F}_p)$, the affine group and sum‐product type implications2023-09-20Paper
On the distribution of quadratic residues2023-08-27Paper
Some applications of representation theory to the sum-product phenomenon2023-07-06Paper
On a girth-free variant of the Bourgain-Gamburd machine2023-06-19Paper
On the random Chowla conjecture2023-06-12Paper
The sum-product problem for integers with few prime factors2023-05-06Paper
Some new results on the higher energies I2023-03-28Paper
On multiplicative energy of subsets of varieties2023-03-02Paper
On some multiplicative properties of large difference sets2023-01-22Paper
On Korobov bound concerning Zaremba's conjecture2022-12-30Paper
Bilinear Forms With Modular Square Roots and Twisted Second Moments of Half Integral Weight Dirichlet Series2022-12-21Paper
Growth in Chevalley groups relatively to parabolic subgroups and some applications2022-12-08Paper
Tilted corners in integer grids2022-08-12Paper
Character sums estimates and an application to a problem of Balog2022-08-01Paper
Additive dimension and the growth of sets2022-05-15Paper
Non-commutative methods in additive combinatorics and number theory2022-04-05Paper
https://portal.mardi4nfdi.de/entity/Q33904402022-03-24Paper
On a paucity result in Incidence Geometry2022-01-20Paper
Number of \(A + B \neq C\) solutions in abelian groups and application to counting independent sets in hypergraphs2022-01-07Paper
On sums and products of combinatorial cubes2021-11-23Paper
On some applications of GCD sums to arithmetic combinatorics2021-11-03Paper
On the spectral gap and the diameter of Cayley graphs2021-10-19Paper
The Uniformity Conjecture in Additive Combinatorics2021-03-17Paper
Energy bounds for modular roots and their applications2021-03-16Paper
Sets of transfer times with small densities2021-02-26Paper
On a modular form of Zaremba's conjecture2021-02-09Paper
\(L\)-functions and sum-free sets2021-01-25Paper
Modular hyperbolas and bilinear forms of Kloosterman sums2020-11-24Paper
On popular sums and differences for sets with small multiplicative doubling2020-11-06Paper
Bounds of Trilinear and Trinomial Exponential Sums2020-10-27Paper
Popular products and continued fractions2020-09-15Paper
On the few products, many sums problem2020-09-11Paper
Small doubling in prime-order groups: from 2.4 to 2.62020-09-01Paper
A Remark on Sets with Small Wiener Norm2020-07-01Paper
On the energy variant of the sum-product conjecture2020-05-06Paper
Growth in Chevalley groups relatively to parabolic subgroups and some applications2020-03-28Paper
Stronger sum-product inequalities for small sets2020-03-02Paper
Some remarks on products of sets in the Heisenberg group and in the affine group2020-02-27Paper
Any small multiplicative subgroup is not a sumset2020-02-26Paper
On popular sums and differences of sets with small products2019-11-27Paper
An Upper Bound for Weak $B_k$-Sets2019-08-29Paper
A short remark on the multiplicative energy of the spectrum2019-07-19Paper
Double character sums with intervals and arbitrary sets2019-06-21Paper
https://portal.mardi4nfdi.de/entity/Q53842482019-06-21Paper
Some remarks on the asymmetric sum-product phenomenon2019-06-06Paper
A note on the set \(A(A + A)\)2019-06-06Paper
Multiplicative Energy of Shifted Subgroups and Bounds On Exponential Sums with Trinomials in Finite Fields2019-05-23Paper
If \(A + A\) is small then \(AAA\) is superquadratic2019-05-16Paper
NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS2019-05-13Paper
On the size of the set AA+A2019-05-10Paper
On asymptotic formulae in some sum–product questions2019-05-03Paper
On Additive Bases of Sets with Small Product Set2019-02-06Paper
Growth Estimates in Positive Characteristic via Collisions2019-01-22Paper
On the restriction problem for discrete paraboloid in lower dimension2018-10-29Paper
An application of the sum-product phenomenon to sets avoiding several linear equations2018-07-11Paper
Breaking the 6/5 threshold for sums and products modulo a prime2018-06-19Paper
A short note on the multiplicative energy of the spectrum of a set2018-05-26Paper
Differences of subgroups in subgroups2018-05-15Paper
On subgraphs of random Cayley sum graphs2018-04-25Paper
Some remarks on sets with small quotient set2018-04-06Paper
Some remarks on the Balog-Wooley decomposition theorem and quantities \(D^+\), \(D^\times\)2018-02-27Paper
Erratum to: ``On some problems of Euclidean Ramsey theory2018-02-22Paper
https://portal.mardi4nfdi.de/entity/Q46018362018-01-24Paper
ON SOME MULTIPLE CHARACTER SUMS2017-09-27Paper
Variations on the Sum-Product Problem II2017-08-31Paper
Sums of multiplicative characters with additive convolutions2017-07-07Paper
On the number of unit-area triangles spanned by convex grids in the plane2017-06-29Paper
On the additive energy of the Heilbronn subgroup2017-06-08Paper
New results on sums and products in \(\mathbb{R}\)2017-02-15Paper
Intersections of shifts of multiplicative subgroups2017-02-08Paper
On tripling constant of multiplicative subgroups2017-01-03Paper
On the Wiener norm of subsets of \(\mathbb{Z}_p\) of medium size2016-11-17Paper
Packing Sets2016-11-02Paper
A remark on A+B and A-A for compact sets in R^n2016-10-28Paper
Difference sets are not multiplicatively closed2016-10-10Paper
An application of the sum-product phenomenon to sets having no solutions of several linear equations2016-09-21Paper
Kolmogorov width of discrete linear spaces: an approach to matrix rigidity2016-06-30Paper
On sums of Szemerédi-Trotter sets2016-05-10Paper
On some problems of Euclidean Ramsey theory2016-05-03Paper
New sum-product type estimates over finite fields2016-03-22Paper
ADDITIVE DIMENSION AND A THEOREM OF SANDERS2016-02-22Paper
New results on sum-products in R2016-02-10Paper
On a question of A. Balog2016-01-11Paper
On sum sets of sets having small product set2016-01-07Paper
An introduction to higher energies and sumsets2015-12-02Paper
A quantitative version of the Beurling-Helson theorem2015-09-29Paper
Structure theorems in additive combinatorics2015-07-13Paper
Variations on the Sum-Product Problem2015-05-20Paper
Some new results on higher energies2014-11-20Paper
Some new inequalities in additive combinatorics2014-11-10Paper
Energies and structure of additive sets2014-09-30Paper
On exponential sums over multiplicative subgroups of medium size2014-09-08Paper
Sumsets in quadratic residues2014-07-25Paper
Roth's theorem in many variables2014-06-25Paper
ON HEILBRONN'S EXPONENTIAL SUM2014-01-22Paper
Higher moments of convolutions2013-02-28Paper
Intersections of multiplicative subgroups and Heilbronn's exponential sum2013-02-15Paper
On the Gowers norms of certain functions2013-01-09Paper
On the Pyatetskii-Shapiro normality criterion for continued fractions2012-11-28Paper
On additive shifts of multiplicative subgroups2012-09-19Paper
ADDITIVE PROPERTIES OF MULTIPLICATIVE SUBGROUPS OF Fp2012-09-05Paper
Some applications of W. Rudin's inequality to problems of combinatorial number theory2012-06-20Paper
On Sumsets of Convex Sets2011-12-08Paper
On monochromatic solutions of some nonlinear equations in \(\mathbb Z/p\mathbb Z\)2011-11-25Paper
On sets with small doubling property2011-08-20Paper
Fourier analysis in combinatorial number theory2011-08-16Paper
Sets with large additive energy and symmetric sets2011-04-11Paper
On one result of J. Bourgain2011-02-22Paper
On sets of large exponential sums2010-12-08Paper
On a question of Cochrane and Pinner concerning multiplicative subgroups2010-08-04Paper
On sumsets of dissociated sets2010-06-03Paper
On Gowers norms of some functions2009-12-12Paper
On a two-dimensional analogue of Szemerédi's theorem in Abelian groups2009-11-24Paper
Dynamical systems with low recurrence rate2008-10-23Paper
On sets of large trigonometric sums2008-08-20Paper
Szemerédi's theorem and problems on arithmetic progressions2008-07-01Paper
Examples of sets with large trigonometric sums2008-05-07Paper
On the multiplicative properties modulo \(m\) of numbers with missing digits2008-03-04Paper
On a generalization of Szemerédi's theorem2007-10-22Paper
On sets with small doubling2007-03-11Paper
ON A GENERALIZATION OF SZEMERÉDI'S THEOREM2007-02-06Paper
On a problem of Gowers2006-10-31Paper
Some examples of sets of large exponential sums2006-10-18Paper
Some additive problems connected with exponential functions2004-11-29Paper
On the Piatetskii-Shapiro criterion of normality2004-11-15Paper
https://portal.mardi4nfdi.de/entity/Q48209642004-10-01Paper
On Multiple Recurrence2004-06-21Paper
On one problem of Gowers2004-05-21Paper
Recurrence in mean2003-06-15Paper

Research outcomes over time


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