Sergei Konyagin

Q: What Schools Are Affiliated With Sergei Konyagin

Sergei Konyagin is affiliated with the following schools: Moscow State University, Moscow State University

Sergei Konyagin's AcademicInfluence.com Rankings

Sergei Konyagin

Mathematics

#604

World Rank

#1132

Historical Rank

Number Theory

#66

World Rank

#96

Historical Rank

Measure Theory

#1004

World Rank

#1298

Historical Rank

mathematics Degrees

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Mathematics

Why Is Sergei Konyagin Influential?

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According to Wikipedia, Sergei Vladimirovich Konyagin is a Russian mathematician. He is a professor of mathematics at the Moscow State University. Konyagin participated in the International Mathematical Olympiad for the Soviet Union, winning two consecutive gold medals with perfect scores in 1972 and 1973. At the age of 15, he became one of the youngest people to achieve a perfect score at the IMO.

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Sergei Konyagin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Estimates for the Number of Sums and Products and for Exponential Sums in Fields of Prime Order (2006) (228)
Explicit constructions of RIP matrices and related problems (2010) (226)
New bounds for Gauss sums derived from kth powers (2000) (172)
Hyperbolic Wavelet Approximation (1998) (152)
On measures with the doubling condition (1988) (142)
Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order (2003) (98)
On the statistical properties of Diffie-Hellman distributions (2000) (93)
Character Sums with Exponential Functions and their Applications: Multiplicative Translations of Arbitrary Sets Modulo p (1999) (92)
The Translation ½ in the Theory of Dirichlet Series (2001) (74)
Contributions to zero-sum problems (2006) (70)
Long gaps between primes (2014) (69)
On sum sets of sets having small product set (2015) (67)
Additive properties of product sets in fields of prime order (2007) (64)
Character Sums with Exponential Functions and their Applications: Bounds of Short Character Sums (1999) (62)
On the Hidden Shifted Power Problem (2011) (60)
Large gaps between consecutive prime numbers (2014) (57)
On New Sum-Product-Type Estimates (2011) (52)
Product Sets of Rationals, Multiplicative Translates of Subgroups in Residue Rings, and Fixed Points of the Discrete Logarithm (2010) (51)
Some doubly exponential sums over Z[m] (2002) (49)
Greedy Approximation with Regard to Bases and General Minimal Systems (2002) (49)
On the Divisibility of Fermat Quotients (2010) (48)
Arithmetic properties of integers with missing digits: distribution in residue classes (2001) (44)
On congruences with products of variables from short intervals and applications (2012) (44)
On everywhere divergence of trigonometric Fourier series (2000) (43)
On the Littlewood Problem Modulo a Prime (2006) (42)
On an irreducibility theorem of A. Schinzel associated with coverings of the integers (2000) (40)
Sieving by large integers and covering systems of congruences (2005) (39)
Combinatorial Complexity of Convex Sequences (2006) (38)
Distance sets of well-distributed planar sets for polygonal norms (2004) (36)
New results on sums and products in ℝ (2016) (35)
ON THE CONSECUTIVE POWERS OF A PRIMITIVE ROOT: GAPS AND EXPONENTIAL SUMS (2012) (34)
Character Sums with Exponential Functions and their Applications: Introduction (1999) (34)
On the number of irreducible polynomials with 0,1 coefficients (1999) (33)
On Primes Recognizable in Deterministic Polynomial Time (2013) (29)
Breaking the k2 barrier for explicit RIP matrices (2011) (28)
A sum-product estimate in fields of prime order (2003) (28)
Prime Chains and Pratt Trees (2009) (27)
Spectra of certain types of polynomials and tiling of integers with translates of finite sets (2002) (27)
The Entropy in Learning Theory. Error Estimates (2007) (26)
Multiplicative congruences with variables from short intervals (2012) (24)
Almost everywhere convergence and divergence of Fourier series (2006) (24)
New results on sum-products in R (2016) (24)
On the distribution of exponential sums. (2000) (24)
On polynomial congruences (1994) (23)
On divergence of trigonometric Fourier series everywhere (1999) (23)
THE PRIME NUMBER RACE AND ZEROS OF L-FUNCTIONS OFF THE CRITICAL LINE (2002) (23)
Convergence of greedy approximation II. The trigonometric system (2003) (22)
Limits of indeterminacy of trigonometric series (1988) (22)
Lower bounds for the absolute value of random polynomials on a neighborhood of the unit circle (1999) (22)
Systems of vectors in Euclidean space and an extremal problem for polynomials (1981) (21)
Estimates of character sums in finite fields (2010) (20)
Divergence in measure of multiple Fourier series (1988) (20)
On the Number of Prime Facttors of Integers Characterized by Digit Properties (2000) (20)
Chebyshev's conjecture and the prime number race (2019) (20)
Enumerating permutation polynomials over finite fields by degree II (2001) (20)
Convergence Almost Everywhere and Divergence Everywhere of Taylor and Dirichlet Series (2004) (20)
Functional graphs of polynomials over finite fields (2013) (20)
Linear Complexity of the Discrete Logarithm (2003) (19)
Combinatorics and linear algebra of Freiman's isomorphism (2000) (18)
Character sums and deterministic polynomial root finding in finite fields (2013) (18)
Convergence of greedy approximation I. General systems (2003) (18)
Character Sums with Exponential Functions and their Applications: Preliminaries (1999) (18)
Corrigenda to: Product Sets of Rationals, Multiplicative Translates of Subgroups in Residue Rings and Fixed Points of the Discrete Logarithm (2009) (17)
On the continuity of finite sums of ridge functions (2015) (17)
On the number of polynomials of bounded measure (1998) (17)
ON PRIME FACTORS OF ODD PERFECT NUMBERS (2012) (17)
Distribution of Elements of Cosets of Small Subgroups and Applications (2011) (16)
On systems of vectors in a Hilbert space (1981) (15)
Squarefree values of polynomials all of whose coefficients are 0 and 1 (1996) (15)
Delta-semidefinite and Delta-convex Quadratic Forms in Banach Spaces (2006) (15)
On the smallest pseudopower (2009) (14)
Two S-unit equations with many solutions (2006) (13)
Residue classes free of values of Euler's function (2020) (12)
THE PRIME NUMBER RACE AND ZEROS OF DIRICHLET L-FUNCTIONS OFF THE CRITICAL LINE: PART III (2012) (12)
Roots of Polynomials in Subgroups of and Applications to Congruences (2008) (12)
On a question of Pichorides (1997) (12)
A quantitative version of the Beurling-Helson theorem (2014) (11)
Deviation of elements of a Banach space from a system of subspaces (2014) (11)
On some properties of finite sums of ridge functions defined on convex subsets of ℝn (2016) (11)
On uniformly convergent rearrangements of trigonometric Fourier series (2008) (10)
An estimate of the free term of a non-negative trigonometric polynomial with integer coefficients (1996) (10)
Sets of points of nonemptiness and continuity of the metric projection (1983) (10)
Convergence to Zero of Exponential Sums with Positive Integer Coefficients and Approximation by Sums of Shifts of a Single Function on the Line (2018) (10)
A bound, in terms of its volume, for the number of vertices of a convex polyhedron when the vertices have integer coordinates (1984) (10)
On a lattice point problem arising in the spectral analysis of periodic operators (2003) (10)
On Convergence of Minmod-Type Schemes (2004) (9)
On two conjectures of Sierpiski concerning the arithmetic functions $ and $ (1999) (9)
Character sums in complex half-planes (2004) (9)
The Erdős–Turán Problem in Infinite Groups (2009) (9)
On the Recovery of an Integer Vector from Linear Measurements (2018) (9)
On the Freiman theorem in finite fields (2008) (9)
An extremal problem for integer sparse recovery (2019) (8)
Double exponential lower bound for the number of representations of unity by Egyptian fractions (2014) (8)
Minimum of the absolute value of random trigonometric polynomials with coefficients ± 1 (1994) (8)
Extremum problems for functions with small support (1996) (8)
On a symmetric Diophantine equation with reciprocals (2016) (8)
Incomplete exponential sums and Diffie–Hellman triples (2006) (8)
Rate of divergence of some integrals (1995) (8)
On the distribution of multiplicatively dependent vectors (2019) (8)
Comparison of the >L1-Norms of Total and Truncated Exponential Sums (2001) (8)
ON GROUPS WITH PERFECT ORDER SUBSETS (2012) (7)
An estimate of the constant term of a nonnegative trigonometric polynomial with integer coefficients (1996) (7)
Integral points on strictly convex closed curves (1977) (7)
An Additive Problem with Fractional Powers (2003) (7)
On the Distribution of Pseudopowers (2007) (7)
On subgraphs of random Cayley sum graphs (2017) (7)
Some Problems in the Theory of Ridge Functions (2018) (6)
On the Convex Hull of the Points on Modular Hyperbolas (2010) (6)
Estimates of the least prime factor of a binomial coefficient (1999) (6)
Quadratic non-residues in short intervals (2013) (6)
Asymptotics for the sum of powers of distances between power residues modulo a prime (2012) (6)
On the second moduli of continuity (2010) (6)
Convergence of greedy approximation for the trigonometric system (2005) (6)
On the reducibility of large sets of residues modulo p (2013) (6)
Recurrence of the integral of an odd conditionally periodic function (1997) (6)
Rearrangements of trigonometric series and trigonometric polynomials. (2003) (6)
Large gaps between consecutive prime numbers containing perfect powers (2014) (6)
On the Wiener Norm of Subsets of ℤp of Medium Size (2016) (6)
On a limit point associated with the abc-conjecture (1998) (6)
Irreducible solutions of an equation involving reciprocals (2017) (6)
Sur une question de Pichorides (1997) (6)
Проблема Варинга с $\tau$-функцией Рамануджана@@@Waring's problem with the Ramanujan $\tau$-function (2008) (5)
On Uniformly Distributed Dilates of Finite Integer Sequences (2000) (5)
On the Structure of Graphs of Markoff Triples (2020) (5)
On smoothing of maps in normed spaces (1988) (4)
Proof of the Goresky Klapper Conjecture on Decimations of L-sequences (2011) (4)
On Wiener norm of subsets of Z_p of medium size (2014) (4)
Counting Additive Decompositions of Quadratic Residues in Finite Fields (2014) (4)
A problem of Littlewood (1991) (4)
Multiplicative decomposition of arithmetic progressions in prime fields (2013) (4)
On the number of popular differences (2010) (3)
Экстремальные задачи для функций с малым носителем@@@Extremum problems for functions with small support (1996) (3)
Cyclotomic polynomials with many primes dividing their orders (2004) (3)
Waring problem with the Ramanujan τ-function (2006) (3)
The Waring Problem with the Ramanujan τ -Function, II (2009) (3)
The representation of rational numbers by terminating continued fractions (1996) (3)
On exact recovery of sparse vectors from linear measurements (2013) (3)
Riesz projection and bounded mean oscillation for Dirichlet series (2020) (3)
Some doubly exponential sums over Z (3)
Long gaps in sieved sets (2018) (3)
Sampling Discretization of the Uniform Norm (2021) (3)
On the new bound for the number of solutions of polynomial equations in subgroups and the structure of graphs of Markoff triples (2017) (3)
Every set of resolution is an Arbault set (1992) (3)
Double exponential lower bound for the number of representations of unity by Egyptian fractions (2014) (2)
Exposition of the lectures by S.B. Stechkin on approximation theory (2013) (2)
Sequences of integers with missing quotients and dense points without neighbors (2011) (2)
Convergence of subsequences of partial cubic sums of Fourier series in mean and almost everywhere (1992) (2)
Convergent subsequences of partial sums of Fourier series of φ(L) (2004) (2)
Criteria for the canonicity of cyclic quotients of regular and nondegenerate double singular points (1985) (2)
Sums of divisors of Fibonacci numbers (2009) (2)
On some properties of finite sums of ridge functions defined on convex subsets of ℝn (2016) (2)
Sums of products of congruence classes and of arithmetic progressions (2007) (2)
Cyclic polygons of integer points (2009) (2)
N T ] 2 0 O ct 2 01 9 THE PRIME NUMBER RACE AND ZEROS OF L-FUNCTIONS OFF THE CRITICAL LINE , II (2019) (2)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: The representation of rational numbers by terminating continued fractions (1996) (2)
Waring's problem with the Ramanujan $ \tau$-function (2006) (2)
A note on the Ramanujan τ-function (2007) (2)
Double and triple sums modulo a prime (2007) (2)
Distinct Angles in General Position (2022) (1)
On exact recovery of sparse vectors from linear measurements (2013) (1)
On adaptive estimators in statistical learning theory (2008) (1)
On Irregularity of Finite Sequences (2021) (1)
Large gaps between sums of two squares (2019) (1)
On a Lemma Arising in the Solution of Waring’s Problem (2021) (1)
On two conjectures of Sierpiński concerning the arithmetic functions $\sigma$ and $\phi$ (2019) (1)
Character Sums with Exponential Functions and their Applications: Bibliography (1999) (1)
On the smallest simultaneous power nonresidue modulo a prime (2015) (1)
FALCONER’S DISTANCE SET CONJECTURE FOR POLYGONAL NORMS (2005) (1)
Projection Greedy Algorithm (2021) (1)
Differences between totients (2021) (1)
On the Pringsheim Convergence of a Subsequence of Partial Sums of a Fourier Trigonometric Series (2022) (1)
Almost everywhere divergence of lacunary subsequences of partial sums of fourier series (2011) (1)
On one result of J. Bourgain (2010) (1)
On the Recovery of an Integer Vector from Linear Measurements (2018) (0)
Convergence to Zero of Exponential Sums with Positive Integer Coefficients and Approximation by Sums of Shifts of a Single Function on the Line (2018) (0)
Character Sums with Exponential Functions and their Applications: An Enumeration Problem in Finite Fields (1999) (0)
On the continuity of finite sums of ridge functions (2015) (0)
Character Sums with Exponential Functions and their Applications: Small m th Roots Modulo p (1999) (0)
Decomposable quadratic forms in Banach spaces (2006) (0)
Character Sums with Exponential Functions and their Applications: Multiplicative Translations of Subgroups of (Expression not displayed) (1999) (0)
A problem in comparative order theory (2021) (0)
Boris Sergeevich Kashin (on his 60th birthday) (2011) (0)
Divisibility of the central binomial coefficient $\binom {2n}{n}$ (2019) (0)
Divergence Almost Everywhere of a PointwiseComparison of Two Sequences of Linear Operators (1997) (0)
an Problem in Infinite Groups (2010) (0)
Corrigendum: Long gaps in sieved sets (2023) (0)
Character Sums with Exponential Functions and their Applications: Cyclotomic Fields and Gaussian Periods (1999) (0)
Breaking the k 2 Barrier for Explicit RIP Matrices (Extended Abstract) (2011) (0)
Character Sums with Exponential Functions and their Applications: Prediction of Pseudo-Random Number Generators (1999) (0)
ON CONVERGENCE OF GREEDY APPROXIMATIONS FOR THE TRIGONOMETRIC SYSTEM (2007) (0)
Character Sums with Exponential Functions and their Applications: Supersingular Hyperelliptic Curves (1999) (0)
Письмо в редакцию@@@Letter to the editor: Extremum problems for functions with small support (2000) (0)
Letter to the Editor: “On exact recovery of sparse vectors from linear measurements” [Mathematical Notes 94 (1), 107–114 (2013)] (2014) (0)
A polynomial analogue of Jacobsthal function (2023) (0)
EXPONENTIAL SUMS OVER MULTIPLICATIVE GROUPS IN FIELDS OF PRIME ORDER AND RELATED COMBINATORIAL PROBLEMS (2011) (0)
Character Sums with Exponential Functions and their Applications: Dimension of BCH Codes (1989) (0)
On congruences with products of variables from short intervals and applications (2013) (0)
Character Sums with Exponential Functions and their Applications: Notation and Auxiliary Results (1999) (0)
Aleksandr L'vovich Garkavi (on his seventieth birthday) (1995) (0)
Character Sums with Exponential Functions and their Applications: Representatives of Residue Classes (1999) (0)
On Stable Reconstruction of Analytic Functions from Fourier Samples (2021) (0)
Some Problems in the Theory of Ridge Functions (2018) (0)
About Distances between Points on the Plane (2001) (0)
On the reconstruction of functions from the values of the nth differences with step 1/n (2012) (0)
Gaps between totients (2020) (0)
Multiplicative congruences with variables from short intervals (2014) (0)
On sum sets of sets having small product set (2015) (0)
Separated sets and the Falconer conjecture for polygonal norms (2004) (0)
Character Sums with Exponential Functions and their Applications: Difference Sets in (Expression not displayed) (1999) (0)
His mathematical century (to the memory of Sergei Mikhailovich Nikol'skii) (2013) (0)
On the convergence of greedy approximants of trigonometric Fourier series (2009) (0)
On the reconstruction of functions from the values of the nth differences with step 1/n (2012) (0)
Character Sums with Exponential Functions and their Applications: Congruential Pseudo-Random Number Generators (1999) (0)
A quantitative version of the Beurling-Helson theorem (2015) (0)
Problems on the set of squarefree numbers (2004) (0)
ArithRand 22 1-2 Factor complexity along polynomial subsequences (2022) (0)
Karatsuba's divisor problem and related questions (2023) (0)
Polynomial Equations in Subgroups and Applications (2020) (0)
Deviation of elements of a Banach space from a system of subspaces (2014) (0)
Parametric approximation of piecewise analytic functions (1990) (0)
Basis Sets in Banach Spaces (2012) (0)
On Zeros of Sums of Cosines (2020) (0)
Character Sums with Exponential Functions and their Applications: Bounds of Character Sums for Almost All Moduli (1999) (0)
Asymptotics for the sum of powers of distances between power residues modulo a prime (2012) (0)
New results on sums and products in ℝ (2016) (0)
FIXED POINTS AND DIFFERENTIABILITY OF THE NORM (1989) (0)
Letter to the editor (2000) (0)
Alexandr L'vovich Garkavi (obituary) (2008) (0)
On the Wiener Norm of Subsets of ℤp of Medium Size (2016) (0)
On Titchmarsh’s Phenomenon in the Theory of the Riemann Zeta Function (2022) (0)
On a symmetric Diophantine equation with reciprocals (2016) (0)
Bounds of Short Character Sums (1999) (0)
Vladimir Igorevich Bogachev (2021) (0)
Character Sums with Exponential Functions and their Applications: Distribution of Powers of Primitive Roots (1999) (0)
UPDATE ON PRIMALITY TESTING (2013) (0)
Letter to the Editor: “On exact recovery of sparse vectors from linear measurements” [Mathematical Notes 94 (1), 107–114 (2013)] (2014) (0)

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What Schools Are Affiliated With Sergei Konyagin?

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Sergei Konyagin's Published Works

Published Works

Other Resources About Sergei Konyagin

What Schools Are Affiliated With Sergei Konyagin?

Sergei Konyagin's AcademicInfluence.com Rankings