Edit Profile (opens in new tab) Konyagin, Sergeĭ Vladimirovich Co-Author Distance Author ID: konyagin.sergey-v Published as: Konyagin, S. V.; Konyagin, Sergei; Konyagin, Sergei V.; Konyagin, S.; Konjagin, S. V.; Konyagin, Sergey V.; Konyagin, V. S.; Konyagin, Sergeĭ Vladimirovich; Konyagin, Serguei V.; Konyagin, Sergej V.; Konyagin, Sergej; Konyagin, Sergey; Konyagin, S. V more...less Further Spellings: Конягин Сергей Владимирович External Links: MGP · ORCID · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 245 Publications since 1977, including 1 Book and 13 Additional arXiv Preprints 1 Further Contribution Biographic References: 1 Publication Co-Authors: 158 Co-Authors with 169 Joint Publications 5,559 Co-Co-Authors all top 5 Co-Authors 74 single-authored 24 Ford, Kevin B. 24 Shparlinski, Igor E. 14 Bourgain, Jean 10 Temlyakov, Vladimir Nikolaevich 9 Garaev, Moubariz Z. 7 Pomerance, Carl Bernard 7 Shkredov, Il’ya Dmitrievich 6 Lev, Vsevolod F. 6 Malykhin, Yuriĭ Vyacheslavovich 5 Kashin, Boris Sergeevich 5 Telyakovskiĭ, Sergeĭ Aleksandrovich 5 Tsar’kov, Igor’ Germanovich 4 Filaseta, Michael A. 4 Friedlander, John Benjamin 4 Luca, Florian 4 Maynard, James 4 Popov, Anton Yur’evich 4 Tao, Terence 3 Belov, Aleksandr S. 3 Borodin, Petr A. 3 García, Victor Cuauhtemoc 3 Green, Ben Joseph 3 Kalmynin, Alexander 3 Korolëv, Maksim Aleksandrovich 3 Kozlov, Valeriĭ Vasil’evich 3 Kuleshov, Aleksandr Andreevich 3 Łaba, Izabella 3 Pappalardi, Francesco 3 Queffélec, Hervé 3 Sadovnichiĭ, Viktor Antonovich 3 Volberg, Alexander Lvovich 3 Vyugin, Ilya V. 2 Andreev, Nikolaĭ Nikolaevich 2 Berdyshev, Vitaliĭ Ivanovich 2 Besov, Oleg Vladimirovich 2 Bochkarëv, Sergeĭ Viktorovich 2 Dilworth, Stephen J. 2 Gabdullin, Mikhail R. 2 Glibichuk, A. A. 2 Gulevich, N. M. 2 Gyarmati, Katalin 2 Heath-Brown, Roger 2 Kutzarova, Denka N. 2 Makarychev, Sergey V. 2 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 2 Rakhmankulov, R. V. 2 Rudnev, Misha 2 Ruzsa, Imre Z. 2 Ryutin, Konstantin S. 2 Sárközy, András 2 Schlag, Wilhelm 2 Sha, Min 2 Stechkin, Sergeĭ Borisovich 1 Acquaah, Peter 1 Adhikari, Sukumar Das 1 Arestov, Vitaliĭ Vladimirovich 1 Banks, William David 1 Bayart, Frédéric 1 Bershteĭn, Mikhaĭl Aleksandrovich 1 Blackburn, Simon R. 1 Bogomolov, Fedor Alekseivich 1 Bombieri, Enrico 1 Canetti, Ran 1 Chen, Yonggao 1 Chernykh, Nikolaĭ Ivanovich 1 Cochrane, Todd 1 Demina, T. V. 1 DeVore, Ronald A. 1 Dietmann, Rainer 1 Dubickas, Artūras 1 D’yachenko, Mikhaĭl Ivanovich 1 Elsholtz, Christian 1 Fleischmann, Henry L. 1 Gabullin, Mikhail Rashidovich 1 Glubov, B. I. 1 Gonchar, Andreĭ Aleksandrovich 1 Gorchinskiĭ, Sergeĭ Olegovich 1 Grigoryan, Martin Gevorgovich 1 Huxley, Martin N. 1 Ibragimov, Il’dar Abdullovich 1 Il’in, Vladimir Aleksandrovich 1 Iosevich, Alex 1 Iudelevich, Vitalii V. 1 Kalmynin, A. B. 1 Kalton, Nigel John 1 Kaminskij, V. A. 1 Khavinson, Semën Yakovlevich 1 Kholshchevnikova, Natal’ya Nikolaevna 1 Khovanova, Tanya 1 Kolesnikov, Alexander V. 1 Kosov, Egor D. 1 Kudryavtsev, N. N. 1 Kulikov, Viktor Stepanovich 1 Lamzouri, Youness 1 Lange, Tanja 1 Larsen, Michael Jeffrey 1 Lieman, Daniel B. 1 Livshits, Evgeny Davidovich 1 Maier, Helmut 1 Maiorov, Vitaly Evgen’evich ...and 64 more Co-Authors all top 5 Serials 28 Mathematical Notes 22 Proceedings of the Steklov Institute of Mathematics 9 Russian Mathematical Surveys 7 Acta Arithmetica 6 Matematicheskie Zametki 6 East Journal on Approximations 5 Journal of Number Theory 5 Soviet Mathematics. Doklady 4 Periodica Mathematica Hungarica 4 Mathematika 4 IMRN. International Mathematics Research Notices 3 Discrete Mathematics 3 Israel Journal of Mathematics 3 Studia Mathematica 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Real Analysis Exchange 3 Constructive Approximation 3 Sbornik: Mathematics 3 Izvestiya: Mathematics 3 The Quarterly Journal of Mathematics 3 Moscow Journal of Combinatorics and Number Theory 2 Analysis Mathematica 2 Moscow University Mathematics Bulletin 2 Canadian Journal of Mathematics 2 Duke Mathematical Journal 2 Functional Analysis and its Applications 2 Mathematics of the USSR. Izvestiya 2 Siberian Mathematical Journal 2 Transactions of the American Mathematical Society 2 Journal of the American Mathematical Society 2 SIAM Journal on Discrete Mathematics 2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Mathematics of the USSR, Sbornik 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Journal of Mathematical Sciences (New York) 2 Finite Fields and their Applications 2 Fundamental’naya i Prikladnaya Matematika 2 Journal of the European Mathematical Society (JEMS) 2 International Journal of Number Theory 2 Chebyshevskiĭ Sbornik 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Journal d’Analyse Mathématique 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Mathematics of Computation 1 Acta Scientiarum Mathematicarum 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Functiones et Approximatio. Commentarii Mathematici 1 Illinois Journal of Mathematics 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series B 1 Journal of the London Mathematical Society. Second Series 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Computing 1 SIAM Journal on Numerical Analysis 1 European Journal of Combinatorics 1 Discrete & Computational Geometry 1 Forum Mathematicum 1 Designs, Codes and Cryptography 1 Geometric and Functional Analysis. GAFA 1 Linear Algebra and its Applications 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Tatra Mountains Mathematical Publications 1 Journal de Théorie des Nombres de Bordeaux 1 Mathematical Research Letters 1 Serdica Mathematical Journal 1 Doklady Mathematics 1 Positivity 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annals of Mathematics. Second Series 1 Integers 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Cambridge Tracts in Mathematics 1 Uniform Distribution Theory 1 Banach Journal of Mathematical Analysis 1 Eurasian Mathematical Journal 1 MSRI Mathematical Circles Library all top 5 Fields 128 Number theory (11-XX) 52 Harmonic analysis on Euclidean spaces (42-XX) 35 Approximations and expansions (41-XX) 24 Functional analysis (46-XX) 11 Information and communication theory, circuits (94-XX) 10 Combinatorics (05-XX) 9 Convex and discrete geometry (52-XX) 8 History and biography (01-XX) 8 Computer science (68-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Measure and integration (28-XX) 5 Operator theory (47-XX) 5 Probability theory and stochastic processes (60-XX) 4 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 3 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 3 Sequences, series, summability (40-XX) 3 Abstract harmonic analysis (43-XX) 3 Numerical analysis (65-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 193 Publications have been cited 1,844 times in 1,342 Documents Cited by ▼ Year ▼ A remark on greedy approximation in Banach spaces. Zbl 1084.46509 Konyagin, S. V.; Temlyakov, V. N. 118 1999 Estimates for the number of sums and products and for exponential sums in fields of prime order. Zbl 1093.11057 Bourgain, J.; Glibichuk, A. A.; Konyagin, S. V. 91 2006 Character sums with exponential functions and their applications. Zbl 0933.11001 Konyagin, S. V.; Shparlinski, I. E. 82 1999 New bounds for Gauss sums derived from \(k\)th powers, and for Heilbronn’s exponential sum. Zbl 0983.11052 Heath-Brown, D. R.; Konyagin, S. 63 2000 Explicit constructions of RIP matrices and related problems. Zbl 1236.94027 Bourgain, Jean; Dilworth, Stephen; Ford, Kevin; Konyagin, Sergei; Kutzarova, Denka 53 2011 Hyperbolic wavelet approximation. Zbl 0895.41016 De Vore, R. A.; Konyagin, S. V.; Temlyakov, V. N. 45 1998 Contributions to zero-sum problems. Zbl 1161.11311 Adhikari, Sukumar Das; Chen, Yonggao; Friedlander, J. B.; Konyagin, S. V.; Pappalardi, F. 42 2006 On the hidden shifted power problem. Zbl 1311.11111 Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E. 37 2012 On sum sets of sets having small product set. Zbl 1366.11054 Konyagin, S. V.; Shkredov, I. D. 34 2015 On measures with the doubling condition. Zbl 0727.28012 Vol’berg, A. L.; Konyagin, S. V. 33 1988 Long gaps between primes. Zbl 1392.11071 Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence 31 2018 Estimates for trigonometric sums over subgroups and for Gauss sums. Zbl 1123.11027 Konyagin, S. V. 28 2002 On the problem of Littlewood. Zbl 0493.42004 Konyagin, S. V. 28 1981 Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order. Zbl 1041.11056 Bourgain, Jean; Konyagin, S. V. 28 2003 On measures with duplication condition. Zbl 0649.42010 Vol’berg, A. L.; Konyagin, S. V. 25 1987 On the statistical properties of Diffie-Hellman distributions. Zbl 0997.11066 Canetti, Ran; Friedlander, John; Konyagin, Sergei; Larsen, Michael; Lieman, Daniel; Shparlinski, Igor 25 2000 Additive properties of product sets in fields of prime order. Zbl 1215.11020 Glibichuk, A. A.; Konyagin, S. V. 25 2007 On the divisibility of Fermat quotients. Zbl 1223.11116 Bourgain, Jean; Ford, Kevin; Konyagin, Sergei V.; Shparlinski, Igor E. 24 2010 On approximation properties of closed sets in Banach spaces and the characterization of strongly convex spaces. Zbl 0458.41027 Konyagin, S. V. 23 1980 Product sets of rationals, multiplicative translates of subgroups in residue rings, and fixed points of the discrete logarithm. Zbl 1232.11003 Bourgain, Jean; Konyagin, Sergei V.; Shparlinski, Igor E. 23 2008 New results on sums and products in \(\mathbb{R}\). Zbl 1371.11027 Konyagin, S. V.; Shkredov, I. D. 23 2016 Large gaps between consecutive prime numbers. Zbl 1338.11083 Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence 22 2016 On new sum-product-type estimates. Zbl 1272.68328 Konyagin, Sergei V.; Rudnev, Misha 22 2013 Sieving by large integers and covering systems of congruences. Zbl 1210.11020 Filaseta, Michael; Ford, Kevin; Konyagin, Sergei; Pomerance, Carl; Yu, Gang 21 2007 On everywhere divergence of trigonometric Fourier series. Zbl 0967.42004 Konyagin, S. V. 20 2000 Arithmetic properties of integers with missing digits: distribution in residue classes. Zbl 0980.11006 Konyagin, Sergei 20 2001 On primes recognizable in deterministic polynomial time. Zbl 0869.11102 Konyagin, Sergei; Pomerance, Carl 20 1997 Greedy approximation with regard to bases and general minimal systems. Zbl 1040.41008 Konyagin, S. V.; Temlyakov, V. N. 19 2002 On the Littlewood problem modulo a prime. Zbl 1232.11013 Green, Ben; Konyagin, Sergei 19 2009 The entropy in learning theory. Error estimates. Zbl 1101.62029 Konyagin, S. V.; Temlyakov, V. N. 18 2007 The translation \(\frac 12\) in the theory of Dirichlet series. Zbl 1026.42011 Konyagin, S. V.; Queffélec, H. 18 2002 Combinatorial complexity of convex sequences. Zbl 1116.11011 Iosevich, Alex; Konyagin, S.; Rudnev, M.; Ten, V. 17 2006 On an irreducibility theorem of A. Schinzel associated with coverings of the integers. Zbl 0966.11046 Filaseta, M.; Ford, K.; Konyagin, S. 17 2000 Almost everywhere convergence and divergence of Fourier series. Zbl 1105.42003 Konyagin, Sergey V. 16 2006 On congruences with products of variables from short intervals and applications. Zbl 1301.11041 Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E. 16 2013 On the number of irreducible polynomials with \(0,1\) coefficients. Zbl 0931.11007 Konyagin, S. V. 15 1999 On continuous operators of generalized rational approximation. Zbl 0694.41022 Konyagin, S. V. 15 1988 Distance sets of well-distributed planar sets for polygonal norms. Zbl 1127.52021 Konyagin, Sergei; Łaba, Izabella 14 2006 Multiplicative congruences with variables from short intervals. Zbl 1385.11002 Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E. 14 2014 Functional graphs of polynomials over finite fields. Zbl 1327.05323 Konyagin, Sergei V.; Luca, Florian; Mans, Bernard; Mathieson, Luke; Sha, Min; Shparlinski, Igor E. 13 2016 Lower bounds for the absolute value of random polynomials on a neighborhood of the unit circle. Zbl 0949.42006 Konyagin, S. V.; Schlag, W. 12 1999 Some doubly exponential sums over \({\mathbb Z}_m\). Zbl 1018.11041 Friedlander, John B.; Konyagin, Sergei; Shparlinski, Igor E. 12 2002 On the consecutive powers of a primitive root: gaps and exponential sums. Zbl 1276.11005 Konyagin, Sergei V.; Shparlinski, Igor E. 11 2012 Divergence everywhere of subsequences of partial sums of trigonometric Fourier series. Zbl 1135.42005 Konyagin, S. V. 11 2005 Limits of indeterminacy of trigonometric series. Zbl 0688.42003 Konyagin, S. V. 11 1988 On the number of prime factors of integers characterized by digit properties. Zbl 0963.11005 Konyagin, Sergei; Mauduit, Christian; Sárközy, András 11 2000 Spectra of certain types of polynomials and tiling of integers with translates of finite sets. Zbl 1052.11020 Konyagin, Sergei; Łaba, Izabella 11 2003 Convergence of greedy approximation. II: The trigonometric system. Zbl 1095.42013 Konyagin, S. V.; Temlyakov, V. N. 11 2003 The Fourier-Walsh subsequence of partial sums. Zbl 0804.42014 Konyagin, S. V. 11 1993 Enumerating permutation polynomials over finite fields by degree. Zbl 1029.11067 Konyagin, Sergei; Pappalardi, Francesco 11 2002 On the problem of Littlewood. Zbl 0511.42003 Konyagin, S. V. 10 1982 Estimates of character sums in finite fields. Zbl 1261.11085 Konyagin, S. V. 10 2010 Rate of convergence of pure greedy algorithm. Zbl 1101.41309 Konyagin, S. V.; Temlyakov, V. N. 10 1999 Squarefree values of polynomials all of whose coefficients are 0 and 1. Zbl 0854.11015 Filaseta, Michael; Konyagin, Sergei 9 1996 Convergence almost everywhere and divergence everywhere of Taylor and Dirichlet series. Zbl 1068.42005 Bayart, F.; Konyagin, S. V.; Queffélec, H. 9 2004 On the continuity of finite sums of ridge functions. Zbl 1329.26027 Konyagin, S. V.; Kuleshov, A. A. 9 2015 Character sums and deterministic polynomial root finding in finite fields. Zbl 1400.11153 Bourgain, Jean; Konyagin, Sergei V.; Shparlinski, Igor E. 9 2015 Convergence to zero of exponential sums with positive integer coefficients and approximation by sums of shifts of a single function on the line. Zbl 1413.42002 Borodin, P. A.; Konyagin, S. V. 9 2018 On divergence of trigonometric Fourier series everywhere. Zbl 0942.42002 Konyagin, Sergei V. 8 1999 Chebyshev’s conjecture and the prime number race. Zbl 1214.11105 Ford, Kevin; Konyagin, Sergei 8 2002 Delta-semidefinite and delta-convex quadratic forms in Banach spaces. Zbl 1153.46006 Kalton, Nigel; Konyagin, Sergei V.; Veselý, Libor 7 2008 On polynomial congruences. Zbl 0830.11003 Konyagin, S. V.; Steger, T. 7 1994 Minimum of the absolute value of random trigonometric polynomials with coefficients \(\pm 1\). Zbl 0849.60048 Konyagin, S. V. 7 1994 On the smallest pseudopower. Zbl 1242.11006 Bourgain, Jean; Konyagin, Sergei V.; Pomerance, Carl; Shparlinski, Igor E. 7 2009 Enumerating permutation polynomials over finite fields by degree. II. Zbl 1163.11350 Konyagin, Sergei; Pappalardi, Francesco 7 2006 An estimate of the free term of a non-negative trigonometric polynomial with integer coefficients. Zbl 0885.42001 Belov, A. S.; Konyagin, S. V. 7 1996 Bounds on the derivatives of polynomials. Zbl 0418.41007 Konyagin, S. V. 7 1978 On some properties of finite sums of ridge functions defined on convex subsets of \(\mathbb{R}^n\). Zbl 1370.26028 Konyagin, S. V.; Kuleshov, A. A. 7 2016 On a symmetric Diophantine equation with reciprocals. Zbl 1372.11051 Konyagin, S. V.; Korolev, M. A. 7 2016 On the recovery of an integer vector from linear measurements. Zbl 1441.94044 Konyagin, S. V. 7 2018 Efimov-Stechkin spaces. Zbl 0636.46016 Konyagin, S. V.; Tsar’kov, I. G. 6 1986 On the distribution of exponential sums. Zbl 0968.11031 Konyagin, Sergei V.; Lev, Vsevolod F. 6 2000 Extremal problems for functions with small support. Zbl 0911.42001 Andreev, N. N.; Konyagin, S. V.; Popov, A. Yu. 6 1996 On estimates of Gaussian sums and Waring’s problem for a prime modulus. Zbl 0820.11048 Konyagin, S. V. 6 1992 On subgraphs of random Cayley sum graphs. Zbl 1384.05141 Konyagin, S. V.; Shkredov, I. D. 6 2018 Recurrence of the integral of an odd conditionally periodic function. Zbl 0915.58094 Konyagin, S. V. 6 1997 On approximative properties of arbitrary closed sets in Banach spaces. Zbl 0934.46024 Konyagin, S. V. 6 1997 Convergence of greedy approximation. I: General systems. Zbl 1050.46012 Konyagin, S. V.; Temlyakov, V. N. 6 2003 Divergence in measure of multiple Fourier series. Zbl 0712.42027 Konyagin, S. V. 6 1988 On divergence of a subsequence of the partial sums of multiple trigonometric Fourier series. Zbl 0824.42005 Konyagin, S. V. 6 1989 On the number of solutions of a congruence of degree \(n\) with one unknown. Zbl 0406.10003 Konyagin, V. S. 6 1979 Distribution of elements of cosets of small subgroups and applications. Zbl 1290.11017 Bourgain, Jean; Konyagin, Sergei V.; Shparlinski, Igor E. 6 2012 On the Wiener norm of subsets of \(\mathbb{Z}_p\) of medium size. Zbl 1360.43005 Konyagin, S. V.; Shkredov, I. D. 6 2016 A quantitative version of the Beurling-Helson theorem. Zbl 1326.42005 Konyagin, S. V.; Shkredov, I. D. 6 2015 The prime number race and zeros of \(L\)-functions off the critical line. Zbl 1010.11051 Ford, Kevin; Konyagin, Sergei 6 2002 Combinatorics and linear algebra of Freiman’s isomorphism. Zbl 1129.11304 Konyagin, Sergei V.; Lev, Vsevolod F. 6 2000 The prime number race and zeros of Dirichlet \(L\)-functions off the critical line. III. Zbl 1284.11123 Ford, Kevin; Lamzouri, Youness; Konyagin, Sergei 6 2013 On prime factors of odd perfect numbers. Zbl 1272.11007 Acquaah, Peter; Konyagin, Sergei 5 2012 An additive problem with fractional powers. Zbl 1093.11006 Konyagin, S. V. 5 2003 On uniformly convergent rearrangements of trigonometric Fourier series. Zbl 1154.42003 Konyagin, S. V. 5 2008 There is a homogeneous measure on any compact subset in \(R^ n\). Zbl 0598.28010 Vol’berg, A. L.; Konyagin, S. V. 5 1984 On a question of Pichorides. Zbl 0889.42001 Konyagin, Sergei 5 1997 Approximation properties of arbitrary sets in Banach spaces. Zbl 0412.41021 Konyagin, S. V. 5 1978 Double exponential lower bound for the number of representations of unity by Egyptian fractions. Zbl 1320.11030 Konyagin, S. V. 5 2014 Waring’s problem with the Ramanujan \(\tau\)-function. Zbl 1180.11033 Garaev, M. Z.; Garcia, V. C.; Konyagin, S. V. 5 2008 Quadratic non-residues in short intervals. Zbl 1378.11012 Konyagin, Sergei V.; Shparlinski, Igor E. 5 2015 An extremal problem for integer sparse recovery. Zbl 1431.15020 Konyagin, Sergei; Sudakov, Benny 5 2020 Breaking the \(k^2\) barrier for explicit RIP matrices. Zbl 1288.68062 Bourgain, Jean; Dilworth, Stephen J.; Ford, Kevin; Konyagin, Sergei V.; Kutzarova, Denka 5 2011 Prime chains and Pratt trees. Zbl 1218.11085 Ford, Kevin; Konyagin, Sergei V.; Luca, Florian 5 2010 Some problems in the theory of ridge functions. Zbl 1405.41011 Konyagin, S. V.; Kuleshov, A. A.; Maiorov, V. E. 5 2018 Sampling discretization of the uniform norm. Zbl 1528.41067 Kashin, B.; Konyagin, S.; Temlyakov, V. 2 2023 Longer gaps between values of binary quadratic forms. Zbl 07702891 Dietmann, Rainer; Elsholtz, Christian; Kalmynin, Alexander; Konyagin, Sergei; Maynard, James 1 2023 On the distribution of multiplicatively dependent vectors. Zbl 07738728 Konyagin, Sergei V.; Sha, Min; Shparlinski, Igor E.; Stewart, Cameron L. 1 2023 Distinct angles in general position. Zbl 1508.52009 Fleischmann, Henry L.; Konyagin, Sergei V.; Miller, Steven J.; Palsson, Eyvindur A.; Pesikoff, Ethan; Wolf, Charles 1 2023 Riesz projection and bounded mean oscillation for Dirichlet series. Zbl 1483.30009 Konyagin, Sergei; Queffélec, Hervé; Saksman, Eero; Seip, Kristian 2 2022 On the Pringsheim convergence of a subsequence of partial sums of a Fourier trigonometric series. Zbl 1510.42005 Konyagin, S. V. 2 2022 Long gaps in sieved sets. Zbl 1468.11197 Ford, Kevin; Konyagin, Sergey; Maynard, James; Pomerance, Carl Bernard; Tao, Terence 1 2021 Projection greedy algorithm. Zbl 1478.41009 Borodin, P. A.; Konyagin, S. V. 1 2021 On a lemma arising in the solution of Waring’s problem. Zbl 1487.44005 Konyagin, S. V.; Protasov, V. Yu. 1 2021 On irregularity of finite sequences. Zbl 1480.11096 Konyagin, S. V. 1 2021 An extremal problem for integer sparse recovery. Zbl 1431.15020 Konyagin, Sergei; Sudakov, Benny 5 2020 On the structure of graphs of Markoff triples. Zbl 1477.11054 Konyagin, Sergei V.; Makarychev, Sergey V.; Shparlinski, Igor E.; Vyugin, Ilya V. 2 2020 Long gaps between primes. Zbl 1392.11071 Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence 31 2018 Convergence to zero of exponential sums with positive integer coefficients and approximation by sums of shifts of a single function on the line. Zbl 1413.42002 Borodin, P. A.; Konyagin, S. V. 9 2018 On the recovery of an integer vector from linear measurements. Zbl 1441.94044 Konyagin, S. V. 7 2018 On subgraphs of random Cayley sum graphs. Zbl 1384.05141 Konyagin, S. V.; Shkredov, I. D. 6 2018 Some problems in the theory of ridge functions. Zbl 1405.41011 Konyagin, S. V.; Kuleshov, A. A.; Maiorov, V. E. 5 2018 Irreducible solutions of an equation involving reciprocals. Zbl 1434.11083 Konyagin, Sergei V.; Korolev, Maxim A. 4 2017 On the smallest simultaneous power nonresidue modulo a prime. Zbl 1422.11003 Ford, Kevin; Garaev, Moubariz Z.; Konyagin, Sergei V. 1 2017 New results on sums and products in \(\mathbb{R}\). Zbl 1371.11027 Konyagin, S. V.; Shkredov, I. D. 23 2016 Large gaps between consecutive prime numbers. Zbl 1338.11083 Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence 22 2016 Functional graphs of polynomials over finite fields. Zbl 1327.05323 Konyagin, Sergei V.; Luca, Florian; Mans, Bernard; Mathieson, Luke; Sha, Min; Shparlinski, Igor E. 13 2016 On some properties of finite sums of ridge functions defined on convex subsets of \(\mathbb{R}^n\). Zbl 1370.26028 Konyagin, S. V.; Kuleshov, A. A. 7 2016 On a symmetric Diophantine equation with reciprocals. Zbl 1372.11051 Konyagin, S. V.; Korolev, M. A. 7 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 sum sets of sets having small product set. Zbl 1366.11054 Konyagin, S. V.; Shkredov, I. D. 34 2015 On the continuity of finite sums of ridge functions. Zbl 1329.26027 Konyagin, S. V.; Kuleshov, A. A. 9 2015 Character sums and deterministic polynomial root finding in finite fields. Zbl 1400.11153 Bourgain, Jean; Konyagin, Sergei V.; Shparlinski, Igor E. 9 2015 A quantitative version of the Beurling-Helson theorem. Zbl 1326.42005 Konyagin, S. V.; Shkredov, I. D. 6 2015 Quadratic non-residues in short intervals. Zbl 1378.11012 Konyagin, Sergei V.; Shparlinski, Igor E. 5 2015 Large gaps between consecutive prime numbers containing perfect powers. Zbl 1391.11125 Ford, Kevin; Heath-Brown, D. R.; Konyagin, Sergei 4 2015 Counting additive decompositions of quadratic residues in finite fields. Zbl 1393.11006 Blackburn, Simon R.; Konyagin, Sergei V.; Shparlinski, Igor E. 1 2015 Multiplicative congruences with variables from short intervals. Zbl 1385.11002 Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E. 14 2014 Double exponential lower bound for the number of representations of unity by Egyptian fractions. Zbl 1320.11030 Konyagin, S. V. 5 2014 Deviation of elements of a Banach space from a system of subspaces. Zbl 1320.46021 Konyagin, S. V. 4 2014 Multiplicative decomposition of arithmetic progressions in prime fields. Zbl 1297.11116 Garaev, M. Z.; Konyagin, S. V 3 2014 \(h\)-fold sums from a set with few products. Zbl 1384.11019 Konyagin, Sergei 3 2014 On new sum-product-type estimates. Zbl 1272.68328 Konyagin, Sergei V.; Rudnev, Misha 22 2013 On congruences with products of variables from short intervals and applications. Zbl 1301.11041 Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E. 16 2013 The prime number race and zeros of Dirichlet \(L\)-functions off the critical line. III. Zbl 1284.11123 Ford, Kevin; Lamzouri, Youness; Konyagin, Sergei 6 2013 On exact recovery of sparse vectors from linear measurements. Zbl 1323.15013 Konyagin, S. V.; Malykhin, Yu. V.; Ryutin, K. S. 3 2013 On the reducibility of large sets of residues modulo \(p\). Zbl 1295.11110 Gyarmati, Katalin; Konyagin, Sergei; Sárközy, András 3 2013 On the hidden shifted power problem. Zbl 1311.11111 Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E. 37 2012 On the consecutive powers of a primitive root: gaps and exponential sums. Zbl 1276.11005 Konyagin, Sergei V.; Shparlinski, Igor E. 11 2012 Distribution of elements of cosets of small subgroups and applications. Zbl 1290.11017 Bourgain, Jean; Konyagin, Sergei V.; Shparlinski, Igor E. 6 2012 On prime factors of odd perfect numbers. Zbl 1272.11007 Acquaah, Peter; Konyagin, Sergei 5 2012 Asymptotics for the sum of powers of distances between power residues modulo a prime. Zbl 1297.11123 Garaev, M. Z.; Konyagin, S. V.; Malykhin, Yu. V. 4 2012 On groups with perfect order subsets. Zbl 1295.11100 Ford, Kevin; Konyagin, Sergei; Luca, Florian 3 2012 Sequences of integers with missing quotients and dense points without neighbors. Zbl 1283.11018 Khovanova, Tanya; Konyagin, Sergei 1 2012 Explicit constructions of RIP matrices and related problems. Zbl 1236.94027 Bourgain, Jean; Dilworth, Stephen; Ford, Kevin; Konyagin, Sergei; Kutzarova, Denka 53 2011 Breaking the \(k^2\) barrier for explicit RIP matrices. Zbl 1288.68062 Bourgain, Jean; Dilworth, Stephen J.; Ford, Kevin; Konyagin, Sergei V.; Kutzarova, Denka 5 2011 Proof of the Goresky–Klapper conjecture on decimations of \(L\)-sequences. Zbl 1238.11003 Cochrane, Todd; Konyagin, Sergei 4 2011 On convex hull of points on modular hyperbolas. Zbl 1280.11003 Konyagin, Sergei V.; Shparlinski, Igor E. 3 2011 Exposition of the lectures by S. B. Stechkin on approximation theory. Zbl 1277.41001 Arestov, V. V.; Berdyshev, V. I.; Chernykh, N. I.; Demina, T. V.; Kholschevnikova, N. N.; Konyagin, S. V.; Subbotin, Yu. N.; Telyakovskii, S. A.; Tsar’kov, I. G.; Yudin, V. A. 2 2011 Almost everywhere divergence of lacunary subsequences of partial sums of Fourier series. Zbl 1228.42004 Konyagin, S. V. 1 2011 On the divisibility of Fermat quotients. Zbl 1223.11116 Bourgain, Jean; Ford, Kevin; Konyagin, Sergei V.; Shparlinski, Igor E. 24 2010 Estimates of character sums in finite fields. Zbl 1261.11085 Konyagin, S. V. 10 2010 Prime chains and Pratt trees. Zbl 1218.11085 Ford, Kevin; Konyagin, Sergei V.; Luca, Florian 5 2010 On the second moduli of continuity. Zbl 1207.26026 Konyagin, S. V. 4 2010 On the distribution of pseudopowers. Zbl 1197.11004 Konyagin, Sergei V.; Pomerance, Carl; Shparlinski, Igor E. 3 2010 On the number of popular differences. Zbl 1210.11033 Konyagin, Sergei V.; Lev, Vsevolod F. 3 2010 The Erdős-Turán problem in infinite groups. Zbl 1271.11011 Konyagin, Sergei V.; Lev, Vsevolod F. 2 2010 On the Littlewood problem modulo a prime. Zbl 1232.11013 Green, Ben; Konyagin, Sergei 19 2009 On the smallest pseudopower. Zbl 1242.11006 Bourgain, Jean; Konyagin, Sergei V.; Pomerance, Carl; Shparlinski, Igor E. 7 2009 Good distribution of values of sparse polynomials modulo a prime. Zbl 1225.11095 Konyagin, Sergei 2 2009 The Waring problem with the Ramanujan \(\tau\)-function. II. Zbl 1193.11096 Garaev, M. Z.; Garcia, V. C.; Konyagin, S. V. 2 2009 Cyclic polygons of integer points. Zbl 1247.11128 Huxley, M. N.; Konyagin, S. V. 1 2009 Sum of divisors of Fibonacci numbers. Zbl 1208.11115 Konyagin, Sergei V.; Luca, Florian; Stănică, Pantelimon 1 2009 Roots of polynomials in subgroups of \(\mathbb F_p^{\ast}\) and applications to congruences. Zbl 1213.11058 Bombieri, E.; Bourgain, J.; Konyagin, S. V. 1 2009 Sums of products of congruence classes and of arithmetic progressions. Zbl 1189.11002 Konyagin, Sergei V.; Nathanson, Melvyn B. 1 2009 Product sets of rationals, multiplicative translates of subgroups in residue rings, and fixed points of the discrete logarithm. Zbl 1232.11003 Bourgain, Jean; Konyagin, Sergei V.; Shparlinski, Igor E. 23 2008 Delta-semidefinite and delta-convex quadratic forms in Banach spaces. Zbl 1153.46006 Kalton, Nigel; Konyagin, Sergei V.; Veselý, Libor 7 2008 On uniformly convergent rearrangements of trigonometric Fourier series. Zbl 1154.42003 Konyagin, S. V. 5 2008 Waring’s problem with the Ramanujan \(\tau\)-function. Zbl 1180.11033 Garaev, M. Z.; Garcia, V. C.; Konyagin, S. V. 5 2008 On the Freiman theorem in finite fields. Zbl 1176.11009 Konyagin, S. V. 4 2008 On adaptive estimators in statistical learning theory. Zbl 1233.62133 Konyagin, S. V.; Livshits, E. D. 1 2008 Additive properties of product sets in fields of prime order. Zbl 1215.11020 Glibichuk, A. A.; Konyagin, S. V. 25 2007 Sieving by large integers and covering systems of congruences. Zbl 1210.11020 Filaseta, Michael; Ford, Kevin; Konyagin, Sergei; Pomerance, Carl; Yu, Gang 21 2007 The entropy in learning theory. Error estimates. Zbl 1101.62029 Konyagin, S. V.; Temlyakov, V. N. 18 2007 Two \(S\)-unit equations with many solutions. Zbl 1131.11022 Konyagin, S.; Soundararajan, K. 3 2007 A note on the Ramanujan \(\tau\)-function. Zbl 1209.11086 Garaev, M. Z.; Garcia, V. C.; Konyagin, S. V. 1 2007 Double and triple sums modulo a prime. Zbl 1173.11005 Gyarmati, Katalin; Konyagin, Sergei; Ruzsa, Imre Z. 1 2007 Estimates for the number of sums and products and for exponential sums in fields of prime order. Zbl 1093.11057 Bourgain, J.; Glibichuk, A. A.; Konyagin, S. V. 91 2006 Contributions to zero-sum problems. Zbl 1161.11311 Adhikari, Sukumar Das; Chen, Yonggao; Friedlander, J. B.; Konyagin, S. V.; Pappalardi, F. 42 2006 Combinatorial complexity of convex sequences. Zbl 1116.11011 Iosevich, Alex; Konyagin, S.; Rudnev, M.; Ten, V. 17 2006 Almost everywhere convergence and divergence of Fourier series. Zbl 1105.42003 Konyagin, Sergey V. 16 2006 Distance sets of well-distributed planar sets for polygonal norms. Zbl 1127.52021 Konyagin, Sergei; Łaba, Izabella 14 2006 Enumerating permutation polynomials over finite fields by degree. II. Zbl 1163.11350 Konyagin, Sergei; Pappalardi, Francesco 7 2006 Divergence everywhere of subsequences of partial sums of trigonometric Fourier series. Zbl 1135.42005 Konyagin, S. V. 11 2005 On convergence of minmod-type schemes. Zbl 1082.65087 Konyagin, Sergei; Popov, Bojan; Trifonov, Ognian 4 2005 Convergence of greedy approximation for the trigonometric system. Zbl 1083.42004 Konyagin, S. V.; Temlyakov, V. N. 2 2005 Convergence almost everywhere and divergence everywhere of Taylor and Dirichlet series. Zbl 1068.42005 Bayart, F.; Konyagin, S. V.; Queffélec, H. 9 2004 Character sums in complex half-planes. Zbl 1068.43004 Konyagin, Sergei V.; Lev, Vsevolod F. 4 2004 Cyclotomic polynomials with many primes dividing their orders. Zbl 1072.11070 Konyagin, Sergei; Maier, Helmut; Wirsing, Eduard 3 2004 Rearrangements of trigonometric series and trigonometric polynomials. Zbl 1060.42004 Konyagin, S. V. 3 2004 Problems of the set of square-free numbers. Zbl 1068.11063 Konyagin, S. V. 1 2004 Convergent subsequences of partial sums of Fourier series of \(\varphi(L)\). Zbl 1065.42004 Konyagin, S. V. 1 2004 Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order. Zbl 1041.11056 Bourgain, Jean; Konyagin, S. V. 28 2003 Spectra of certain types of polynomials and tiling of integers with translates of finite sets. Zbl 1052.11020 Konyagin, Sergei; Łaba, Izabella 11 2003 Convergence of greedy approximation. II: The trigonometric system. Zbl 1095.42013 Konyagin, S. V.; Temlyakov, V. N. 11 2003 ...and 93 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,333 Authors 104 Shparlinski, Igor E. 41 Shkredov, Il’ya Dmitrievich 38 Konyagin, Sergeĭ Vladimirovich 30 Bourgain, Jean 25 Garaev, Moubariz Z. 21 Temlyakov, Vladimir Nikolaevich 20 Ansorena, José Luis 20 Berná, Pablo Manuel 19 Tsar’kov, Igor’ Germanovich 18 Albiac, Fernando 16 Dilworth, Stephen J. 13 Chang, Mei-Chu 13 Defant, Andreas 13 Kutzarova, Denka N. 13 Luca, Florian 12 Adhikari, Sukumar Das 12 Roche-Newton, Oliver 12 Winterhof, Arne 12 Wojtaszczyk, Przemyslaw 11 Dubickas, Artūras 11 Rudnev, Misha 11 Sanders, Tom 11 Tao, Terence 10 Alimov, Alexey R. 10 Banks, William David 10 Ford, Kevin B. 10 Grigoryan, Martin Gevorgovich 10 Hernandez, Eugenio 10 Maynard, James 9 Berasategui, Miguel 9 Goginava, Ushangi 9 Gogyan, Smbat L. 9 Mixon, Dustin G. 9 Wen, Shengyou 8 Korolëv, Maksim Aleksandrovich 7 Bollobás, Béla 7 Chen, Zhixiong 7 Cilleruelo, Javier 7 Cochrane, Todd 7 Erdélyi, Tamás 7 Gamburd, Alexander 7 Kerr, Bryce 7 Malykhin, Yuriĭ Vyacheslavovich 7 Nielsen, Morten 7 Ostafe, Alina 7 Ryutin, Konstantin S. 7 Sahasrabudhe, Julian 7 Sevilla-Peris, Pablo 7 Shen, Chun-Yen 6 Balister, Paul N. 6 Blasco, Oscar 6 Chu, Hùng Việt 6 Elsholtz, Christian 6 Fickus, Matthew C. 6 Friedlander, John Benjamin 6 García, Victor Cuauhtemoc 6 Garrigós, Gustavo 6 Hegyvári, Norbert 6 Iosevich, Alex 6 Li, Chong 6 Mauduit, Christian 6 Morris, Robert D. 6 Oikhberg, Timur 6 Schlumprecht, Thomas 6 Shteĭnikov, Yuriĭ Nikolaevich 6 Tiba, Marius 6 Ullrich, Tino 6 Vyugin, Ilya V. 6 Zhang, Wenpeng 6 Zhelezov, Dmitry 5 Bayart, Frédéric 5 Chintamani, Mohan N. 5 Filaseta, Michael A. 5 Fraser, Jonathan MacDonald 5 Fu, Fangwei 5 Gabdullin, Mikhail R. 5 Hart, Derrick N. 5 Hennecart, François 5 Ismailov, Vugar E. 5 Mazumdar, Eshita 5 Murphy, Brendan 5 Niu, Minyao 5 Pappalardi, Francesco 5 Pinner, Christopher G. 5 Wang, Gang 5 Wen, Zhixiong 5 Zaharescu, Alexandru 4 Aimar, Hugo A. 4 Aliev, Rashid Avazaga 4 Baier, Stephan 4 Borodin, Petr A. 4 de Natividade, Maria 4 Flad, Heinz-Jürgen 4 Gát, György 4 Gevorkyan, Gegham G. 4 Granville, Andrew James 4 Helfgott, Harald Andrés 4 Kan, Igor D. 4 Koh, Doowon 4 Kuleshov, Aleksandr Andreevich ...and 1,233 more Authors all top 5 Cited in 281 Serials 66 Mathematical Notes 55 Journal of Number Theory 48 Journal of Approximation Theory 41 Proceedings of the Steklov Institute of Mathematics 36 Proceedings of the American Mathematical Society 33 Journal of Mathematical Analysis and Applications 29 Finite Fields and their Applications 27 International Journal of Number Theory 25 Mathematics of Computation 24 Constructive Approximation 23 Transactions of the American Mathematical Society 20 Journal d’Analyse Mathématique 19 Journal of Contemporary Mathematical Analysis. 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Mathematics 4 Research in the Mathematical Sciences 4 Research in Number Theory 3 Indian Journal of Pure & Applied Mathematics 3 Lithuanian Mathematical Journal 3 Chaos, Solitons and Fractals 3 Canadian Mathematical Bulletin 3 Czechoslovak Mathematical Journal 3 Functional Analysis and its Applications 3 Journal of Computer and System Sciences 3 Manuscripta Mathematica 3 Numerische Mathematik 3 Probability Theory and Related Fields 3 Discrete & Computational Geometry 3 Journal of the American Mathematical Society 3 Proceedings of the Royal Society of Edinburgh. Section A. 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