Edit Profile (opens in new tab) Ruzsa, Imre Z. Compute Distance To: Compute Author ID: ruzsa.imre-z Published as: Ruzsa, Imre Z.; Ruzsa, I. Z.; Ruzsa, Imre; Ruzsa, I.; Ruzsa, I. jun.; Ruzsa, Imre jun.; Ruzsa, Irme Z. External Links: Wikidata · ResearchGate · dblp · GND · IdRef Documents Indexed: 200 Publications since 1972, including 2 Books 2 Contributions as Editor · 2 Further Contributions Reviewing Activity: 332 Reviews Co-Authors: 102 Co-Authors with 109 Joint Publications 3,644 Co-Co-Authors all top 5 Co-Authors 93 single-authored 11 Matolcsi, Máté 9 Székely, Gábor J. 6 Green, Ben Joseph 6 Nathanson, Melvyn Bernard 5 Erdős, Pál 5 Gyarmati, Katalin 4 Alon, Noga M. 4 Cilleruelo, Javier 3 Balog, Antal 3 Bergelson, Vitaly 3 Chen, Yonggao 3 Elekes, György 3 Laczkovich, Miklós 3 Sárközy, András 3 Solymosi, József 2 Böröczky, Karoly jun. 2 Crowston, Robert 2 Gefferth, A. 2 Graham, Ronald Lewis 2 Gutin, Gregory Z. 2 Hegyvári, Norbert 2 Keleti, Tamás 2 Kim, Eun Jung 2 Konyagin, Sergeĭ Vladimirovich 2 Maricza, István 2 Molnár, Sándor H. 2 Tijdeman, Robert 2 Tokushige, Norihide 2 Turjányi, Sándor 2 Tuza, Zsolt 2 Veitch, Darryl 2 Vinuesa, Carlos 1 Bachoc, Christine 1 Bajnok, Béla 1 Bayart, Frédéric 1 Bhowmik, Gautami 1 Bilu, Yuri F. 1 Blagoveshchenskiĭ, Yuriĭ Nikolaevich 1 Brandt, Stephan 1 Brindza, Béla 1 Budzban, Greg 1 Croot, Ernie 1 de Oliveira Filho, Fernando Mário 1 Deshouillers, Jean-Marc 1 Elsholtz, Christian 1 Fellows, Michael Ralph 1 Frankl, Péter 1 Freiman, Gregory A. 1 Furedi, Zoltan 1 Gao, Weidong 1 Geroldinger, Alfred 1 Guerreiro, João Nisan C. 1 Habsieger, Laurent 1 Hajdu, Lajos 1 Halberstam, Heini 1 Hamidoune, Yahya Ould 1 Harcos, Gergely 1 Hegedűs, Pál 1 Hennecart, François 1 Horváth, Márton 1 Host, Bernard 1 Károlyi, Gyula 1 Kiss, Sándor Z. 1 Kocis, B. 1 Kós, Géza 1 Kra, Bryna 1 Kun, Gábor 1 Laczkowich, M. 1 Lev, Vsevolod F. 1 Lovász, László 1 Maehara, Hiroshi 1 Malikiosis, Romanos Diogenes 1 Mátrai, Tamás 1 Matsumoto, Makoto 1 Miškuf, Jozef 1 Monopoli, Francesco 1 Nicolas, Jean-Louis 1 O’Bryant, Kevin 1 Orosz, Brooke 1 Pach, János 1 Pasztor, I. 1 Pete, Gábor 1 Pintz, Janos 1 Piroska, Gábor 1 Ramaré, Olivier 1 Rautenbach, Dieter 1 Regen, Friedrich 1 Reiman, Istvan 1 Révész, Pál 1 Révész, Szilárd György 1 Roche-Newton, Oliver 1 Sanders, Tom 1 Santos, Francisco 1 Schinzel, Andrzej 1 Schlag, Wilhelm 1 Schoen, Tomasz 1 Serra, Oriol 1 Shen, Chun-Yen 1 Shkredov, Il’ya Dmitrievich 1 Sós, Vera Turán ...and 14 more Co-Authors all top 5 Serials 18 Acta Arithmetica 13 Journal of Number Theory 10 Periodica Mathematica Hungarica 10 Studia Scientiarum Mathematicarum Hungarica 9 Publicationes Mathematicae 9 Acta Mathematica Hungarica 4 Advances in Mathematics 4 Journal of Combinatorial Theory. Series A 4 Matematikai Lapok 4 Real Analysis Exchange 4 Combinatorica 4 Discrete & Computational Geometry 3 Journal of the London Mathematical Society. Second Series 3 Monatshefte für Mathematik 3 European Journal of Combinatorics 3 Integers 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 American Mathematical Monthly 2 Israel Journal of Mathematics 2 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 2 Bulletin of the London Mathematical Society 2 Canadian Mathematical Bulletin 2 Glasgow Mathematical Journal 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Journal of Theoretical Probability 2 Random Structures & Algorithms 2 The Australasian Journal of Combinatorics 2 Journal de Théorie des Nombres de Bordeaux 2 The Ramanujan Journal 1 Advances in Applied Probability 1 Analysis Mathematica 1 Discrete Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Acta Scientiarum Mathematicarum 1 The Annals of Probability 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Functiones et Approximatio. Commentarii Mathematici 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Journal of Computer and System Sciences 1 Manuscripta Mathematica 1 Proceedings of the London Mathematical Society. Third Series 1 Ergodic Theory and Dynamical Systems 1 SIAM Journal on Discrete Mathematics 1 Publicacions Matemàtiques 1 Scientia. Series A: Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Grazer Mathematische Berichte 1 The Journal of Fourier Analysis and Applications 1 The Quarterly Journal of Mathematics 1 Stochastic Models 1 Bolyai Society Mathematical Studies 1 Proceedings of the Steklov Institute of Mathematics 1 Publications Mathématiques d’Orsay 1 Scientia. Series A: Mathematical Sciences. New Series 1 Moscow Journal of Combinatorics and Number Theory 1 Séminaire de Théorie des Nombres 1 Advanced Courses in Mathematics – CRM Barcelona 1 Wiley Series in Probability and Mathematical Statistics all top 5 Fields 154 Number theory (11-XX) 37 Combinatorics (05-XX) 20 Probability theory and stochastic processes (60-XX) 10 Measure and integration (28-XX) 9 Group theory and generalizations (20-XX) 9 Convex and discrete geometry (52-XX) 7 Real functions (26-XX) 7 Abstract harmonic analysis (43-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 History and biography (01-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Approximations and expansions (41-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 1 Field theory and polynomials (12-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 160 Publications have been cited 1,531 times in 1,058 Documents Cited by ▼ Year ▼ Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa). Zbl 1087.28007Bergelson, Vitaly; Host, Bernard; Kra, Bryna 80 2005 Triple systems with no six points carrying three triangles. Zbl 0393.05031Ruzsa, I. Z.; Szemerédi, E. 76 1978 Solving a linear equation in a set of integers. I. Zbl 1042.11525Ruzsa, Imre Z. 62 1993 Freiman’s theorem in an arbitrary Abelian group. Zbl 1133.11058Green, Ben; Ruzsa, Imre Z. 61 2007 The polynomial method and restricted sums of congruence classes. Zbl 0861.11006Alon, Noga; Nathanson, Melvyn B.; Ruzsa, Imre 58 1996 Generalized arithmetical progressions and sumsets. Zbl 0816.11008Ruzsa, I. Z. 57 1994 Difference sets and frequently hypercyclic weighted shifts. Zbl 1355.37035Bayart, Frédéric; Ruzsa, Imre Z. 52 2015 Sum-free sets in abelian groups. Zbl 1158.11311Green, Ben; Ruzsa, Imre Z. 48 2005 Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse). Zbl 1177.11005Geroldinger, Alfred; Ruzsa, Imre Z. 38 2009 An analog of Freiman’s theorem in groups. Zbl 0946.11007Ruzsa, Imre Z. 35 1999 Sumsets and structure. Zbl 1221.11026Ruzsa, Imre Z. 31 2009 Sets with small sumset and rectification. Zbl 1155.11307Green, Ben; Ruzsa, Imre Z. 29 2006 An application of graph theory to additive number theory. Zbl 0743.05052Ruzsa, Imre Z. 28 1989 On the parity of additive representation functions. Zbl 0921.11050Nicolas, J.-L.; Ruzsa, I. Z.; Sárközy, A. 28 1998 Adding distinct congruence classes modulo a prime. Zbl 0849.11081Alon, Noga; Nathanson, Melvyn B.; Ruzsa, Imre 28 1995 On Linnik’s approximation to Goldbach’s problem. I. Zbl 1031.11060Pintz, J.; Ruzsa, I. Z. 26 2003 Convexity and sumsets. Zbl 0998.11010Elekes, György; Nathanson, Melvyn B.; Ruzsa, Imre Z. 25 2000 Few sums, many products. Zbl 1102.11009Elekes, Gy; Ruzsa, I. Z. 22 2003 On the concentration of additive functions. Zbl 0471.10034Ruzsa, I. Z. 21 1980 An infinite Sidon sequence. Zbl 0927.11005Ruzsa, Imre Z. 20 1998 Arithmetical progressions and the number of sums. Zbl 0761.11005Ruzsa, I. Z. 19 1992 Generalized moments of additive functions. Zbl 0524.10042Ruzsa, Imre Z. 18 1984 Distance graphs with finite chromatic number. Zbl 1027.05036Ruzsa, I. Z.; Tuza, Zs.; Voigt, M. 18 2002 Solving a linear equation in a set of integers. II. Zbl 1044.11617Ruzsa, Imre Z. 17 1995 Rectification principles in additive number theory. Zbl 0899.11002Bilu, Y. F.; Lev, V. F.; Ruzsa, I. Z. 17 1998 On difference sets. Zbl 0423.10027Ruzsa, I. Z. 17 1978 Systems of linear equations over \(\mathbb{F}_2\) and problems parameterized above average. Zbl 1285.68062Crowston, Robert; Gutin, Gregory; Jones, Mark; Kim, Eun Jung; Ruzsa, Imre Z. 16 2010 Sum of sets in several dimensions. Zbl 0815.11012Ruzsa, Imre Z. 16 1994 Sums of finite sets. Zbl 0869.11011Ruzsa, Imre Z. 15 1996 Upper and lower bounds for finite \(B_h[g]\) sequences. Zbl 1041.11015Cilleruelo, Javier; Ruzsa, Imre Z.; Trujillo, Carlos 15 2002 Counting sumsets and sum-free sets modulo a prime. Zbl 1064.11020Green, Ben; Ruzsa, Imre Z. 15 2004 Arithmetic progressions in sumsets. Zbl 0728.11009Ruzsa, I. Z. 15 1991 Integer sum sets containing long arithmetic progressions. Zbl 0768.11005Freiman, G. A.; Halberstam, H.; Ruzsa, I. Z. 14 1992 On the number of sums and differences. Zbl 0773.11010Ruzsa, I. Z. 14 1992 Additive properties of dense subsets of sifted sequences. Zbl 0996.11057Ramaré, Olivier; Ruzsa, Imre Z. 13 2001 A just basis. Zbl 0713.11009Ruzsa, Imre Z. 12 1990 Difference sets without squares. Zbl 0552.10035Ruzsa, I. Z. 12 1984 A superadditivity and submultiplicativity property for cardinalities of sumsets. Zbl 1240.11041Gyarmati, Katalin; Matolcsi, Máté; Ruzsa, Imre Z. 12 2010 Minimum shadows in uniform hypergraphs and a generalization of the Takagi function. Zbl 0820.05059Frankl, Peter; Matsumoto, Makoto; Ruzsa, Imre Z.; Tokushige, Norihide 12 1995 Additive completion of lacunary sequences. Zbl 0999.11011Ruzsa, Imre Z. 10 2001 Generalized Sidon sets. Zbl 1293.11019Cilleruelo, Javier; Ruzsa, Imre; Vinuesa, Carlos 10 2010 Cardinality questions about sumsets. Zbl 1140.11009Ruzsa, Imre Z. 9 2007 General multiplicative functions. Zbl 0311.10048Ruzsa, I. Z. 9 1977 On the cardinality of A+A and A-A. Zbl 0383.04003Ruzsa, I. Z. 9 1978 Arithmetic progressions in sparse sumsets. Zbl 1178.11011Croot, Ernie; Ruzsa, Imre; Schoen, Tomasz 8 2007 On the prime factors of \(\binom{2n}{n}\). Zbl 0296.10008Erdős, Paul; Graham, Ronald L.; Ruzsa, I. Z.; Straus, E. G. 8 1975 Olson’s constant for the group \(\mathbb Z_p\oplus\mathbb Z_p\). Zbl 1107.11014Gao, W. D.; Ruzsa, I. Z.; Thangadurai, R. 8 2004 Essential components. Zbl 0609.10042Ruzsa, Imre Z. 7 1987 Squares and difference sets in finite fields. Zbl 1284.11030Bachoc, C.; Matolcsi, M.; Ruzsa, I. Z. 7 2013 The number of homothetic subsets. 1st ed. Zbl 0871.52012Laczkovich, M.; Ruzsa, I. Z. 7 1997 On the small sieve. I. Sifting by primes. Zbl 0435.10028Erdős, Paul; Ruzsa, I. Z. 7 1980 A note on additive bases of integers. Zbl 0588.10063Ruzsa, I. Z.; Turjányi, S. 6 1985 On an additive property of squares and primes. Zbl 0636.10042Ruzsa, Imre Z. 6 1988 Bounds for arrays of dots with distinct slopes or lengths. Zbl 0774.05020Erdős, Paul; Graham, Ron; Ruzsa, Imre Z.; Taylor, Herbert 6 1992 Algebraic probability theory. Zbl 0653.60012Ruzsa, Imre Z.; Székely, Gábor J. 6 1988 Binary linear forms over finite sets of integers. Zbl 1156.11011Nathanson, Melvyn B.; O’Bryant, Kevin; Orosz, Brooke; Ruzsa, Imre; Silva, Manuel 6 2007 Additive completion and disjoint translations. Zbl 0859.11017Habsieger, L.; Ruzsa, I. Z. 6 1995 Sets of sums and commutative graphs. Zbl 0874.11014Ruzsa, I. Z. 6 1995 Sumsets and entropy. Zbl 1169.11011Ruzsa, Imre Z. 6 2009 Polynomial growth of sumsets in abelian semigroups. Zbl 1077.11014Nathanson, Melvyn B.; Ruzsa, Imre Z. 6 2002 Satisfying more than half of a system of linear equations over GF(2): a multivariate approach. Zbl 1285.68053Crowston, R.; Fellows, M.; Gutin, G.; Jones, M.; Kim, E. J.; Rosamond, F.; Ruzsa, I. Z.; Thomassé, S.; Yeo, A. 6 2014 On the variance of additive functions. Zbl 0519.10045Ruzsa, I. Z. 5 1983 Diameter of sets and measure of sumsets. Zbl 0737.28006Ruzsa, Imre Z. 5 1991 Difference sets and the primes. Zbl 1170.11023Ruzsa, Imre Z.; Sanders, Tom 5 2008 Non-averaging subsets and non-vanishing transversals. Zbl 0927.11007Alon, Noga; Ruzsa, Imre Z. 5 1999 Addendum to: An application of graph theory to additive number theory. Zbl 1103.05316Ruzsa, Imre Z. 5 1991 Negative values of cosine sums. Zbl 1154.11312Ruzsa, Imre Z. 5 2004 On the Hardy-Littlewood majorant problem. Zbl 1066.42009Green, Ben; Ruzsa, Imre Z. 5 2004 The grid revisited. Zbl 0794.52004Erdős, Paul; Füredi, Zoltán; Pach, János; Ruzsa, Imre Z. 5 1993 Infinite divisibility II. Zbl 0676.60017Ruzsa, Imre Z. 5 1988 Convolution quotients of nonnegative functions. Zbl 0509.43004Ruzsa, Imre Z.; Szekely, Gabor J. 5 1983 Theory of decomposition in semigroups. Zbl 0585.60017Ruzsa, Imre Z.; Székely, Gábor J. 5 1985 A converse to a theorem of Erdös and Fuchs. Zbl 0872.11014Ruzsa, Imre Z. 5 1997 Periodic decomposition of integer valued functions. Zbl 1164.39004Károlyi, Gy.; Keleti, T.; Kós, G.; Ruzsa, I. Z. 5 2008 Systems of mutually unbiased Hadamard matrices containing real and complex matrices. Zbl 1278.05044Matolcsi, Máté; Ruzsa, Imre Z.; Weiner, Mihály 5 2013 The least nonzero digit of \(n!\) in base \(12\). Zbl 1249.11044Deshouillers, Jean-Marc; Ruzsa, Imre Z. 5 2011 Sumsets and the convex hull. Zbl 1300.11016Matolcsi, Máté; Ruzsa, Imre Z. 5 2010 Infinite divisibility. Zbl 0646.60017Ruzsa, Irme Z. 4 1988 On measures of intersectivity. Zbl 0534.10047Ruzsa, I. Z. 4 1984 Exact additive complements. Zbl 1430.11016Ruzsa, Imre Z. 4 2017 Difference sets and positive exponential sums. I: General properties. Zbl 1354.11017Matolcsi, Máté; Ruzsa, Imre Z. 4 2014 Better bounds for planar sets avoiding unit distances. Zbl 1335.05048Keleti, Tamás; Matolcsi, Máté; de Oliveira Filho, Fernando Mário; Ruzsa, Imre Z. 4 2016 Probabilistic generalization of a number-theoretical inequality. Zbl 0349.10045Ruzsa, I. Z. 4 1976 Additive structure of difference sets and a theorem of Følner. Zbl 1333.05042Hegyvári, Norbert; Ruzsa, Imre Z. 4 2016 Squarefree numbers, IP sets and ergodic theory. Zbl 1042.11006Bergelson, V.; Ruzsa, I. 4 2002 Erdős and the integers. Zbl 0956.11002Ruzsa, Imre Z. 4 1999 The independence number of a subset of an Abelian group. Zbl 1022.11010Bajnok, Béla; Ruzsa, Imre 4 2003 Sum-avoiding subsets. Zbl 1155.11308Ruzsa, Imre Z. 4 2005 The Brunn-Minkowski inequality and nonconvex sets. Zbl 0888.52011Ruzsa, Imre Z. 4 1997 Generalization of a theorem of Erdős and Rényi on Sidon sequences. Zbl 1226.11018Cilleruelo, Javier; Kiss, Sándor Z.; Ruzsa, Imre Z.; Vinuesa, Carlos 4 2010 Periodicity and almost-periodicity. Appendix by Imre Z. Ruzsa. Zbl 1103.68103Tijdeman, R. 4 2006 The difference graph of \(S\)-units. Zbl 1249.11028Ruzsa, Imre Z. 4 2011 Towards a noncommutative Plünnecke-type inequality. Zbl 1221.11027Ruzsa, Imre Z. 4 2010 Uniform distribution, positive trigonometric polynomials and difference sets. Zbl 0515.10048Ruzsa, Imre Z. 3 1982 No distribution is prime. Zbl 0554.60026Ruzsa, I. Z.; Székely, G. J. 3 1985 Monochromatic paths for the integers. Zbl 1343.05156Guerreiro, João; Ruzsa, Imre Z.; Silva, Manuel 3 2016 Large regular simplices contained in a hypercube. Zbl 1199.52030Maehara, Hiroshi; Ruzsa, Imre Z.; Tokushige, Norihide 3 2009 Note on an inequality of Wegner. Zbl 1117.52020Boroczky, Karoly jun.; Ruzsa, Imre Z. 3 2007 A new lower bound for the \(L^1\) mean of the exponential sum with the Möbius function. Zbl 1068.11052Balog, Antal; Ruzsa, Imre Z. 3 1999 Sumsets in difference sets. Zbl 1250.11009Bergelson, Vitaly; Ruzsa, Imre Z. 3 2009 Sumsets of semiconvex sets. Zbl 07496479Ruzsa, Imre; Solymosi, Jozsef 1 2022 Sums, products, and ratios along the edges of a graph. Zbl 1465.11074Alon, Noga; Ruzsa, Imre; Solymosi, József 3 2020 On the size of the set \(AA+A\). Zbl 1464.11018Roche-Newton, Oliver; Ruzsa, Imre Z.; Shen, Chun-yen; Shkredov, Ilya D. 2 2019 On the arithmetic Kakeya conjecture of Katz and Tao. Zbl 1438.42040Green, Ben; Ruzsa, Imre Z. 1 2019 Convex sequences may have thin additive bases. Zbl 1458.11018Ruzsa, Imre Z.; Zhelezov, Dmitrii 1 2019 Average Goldbach and the quasi-Riemann hypothesis. Zbl 1399.11164Bhowmik, G.; Ruzsa, I. Z. 3 2018 Exact additive complements. Zbl 1430.11016Ruzsa, Imre Z. 4 2017 Better bounds for planar sets avoiding unit distances. Zbl 1335.05048Keleti, Tamás; Matolcsi, Máté; de Oliveira Filho, Fernando Mário; Ruzsa, Imre Z. 4 2016 Additive structure of difference sets and a theorem of Følner. Zbl 1333.05042Hegyvári, Norbert; Ruzsa, Imre Z. 4 2016 Monochromatic paths for the integers. Zbl 1343.05156Guerreiro, João; Ruzsa, Imre Z.; Silva, Manuel 3 2016 Difference sets and frequently hypercyclic weighted shifts. Zbl 1355.37035Bayart, Frédéric; Ruzsa, Imre Z. 52 2015 Satisfying more than half of a system of linear equations over GF(2): a multivariate approach. Zbl 1285.68053Crowston, R.; Fellows, M.; Gutin, G.; Jones, M.; Kim, E. J.; Rosamond, F.; Ruzsa, I. Z.; Thomassé, S.; Yeo, A. 6 2014 Difference sets and positive exponential sums. I: General properties. Zbl 1354.11017Matolcsi, Máté; Ruzsa, Imre Z. 4 2014 Squares and difference sets in finite fields. Zbl 1284.11030Bachoc, C.; Matolcsi, M.; Ruzsa, I. Z. 7 2013 Systems of mutually unbiased Hadamard matrices containing real and complex matrices. Zbl 1278.05044Matolcsi, Máté; Ruzsa, Imre Z.; Weiner, Mihály 5 2013 A note on the pyjama problem. Zbl 1292.52016Malikiosis, R. D.; Matolcsi, M.; Ruzsa, I. Z. 2 2013 Sets with no solutions to \(x+y=3z\). Zbl 1292.11046Matolcsi, Máté; Ruzsa, Imre Z. 1 2013 A set of squares without arithmetic progressions. Zbl 1293.11015Gyarmati, Katalin; Ruzsa, Imre Z. 1 2012 The least nonzero digit of \(n!\) in base \(12\). Zbl 1249.11044Deshouillers, Jean-Marc; Ruzsa, Imre Z. 5 2011 The difference graph of \(S\)-units. Zbl 1249.11028Ruzsa, Imre Z. 4 2011 Systems of linear equations over \(\mathbb{F}_2\) and problems parameterized above average. Zbl 1285.68062Crowston, Robert; Gutin, Gregory; Jones, Mark; Kim, Eun Jung; Ruzsa, Imre Z. 16 2010 A superadditivity and submultiplicativity property for cardinalities of sumsets. Zbl 1240.11041Gyarmati, Katalin; Matolcsi, Máté; Ruzsa, Imre Z. 12 2010 Generalized Sidon sets. Zbl 1293.11019Cilleruelo, Javier; Ruzsa, Imre; Vinuesa, Carlos 10 2010 Sumsets and the convex hull. Zbl 1300.11016Matolcsi, Máté; Ruzsa, Imre Z. 5 2010 Generalization of a theorem of Erdős and Rényi on Sidon sequences. Zbl 1226.11018Cilleruelo, Javier; Kiss, Sándor Z.; Ruzsa, Imre Z.; Vinuesa, Carlos 4 2010 Towards a noncommutative Plünnecke-type inequality. Zbl 1221.11027Ruzsa, Imre Z. 4 2010 Edge-injective and edge-surjective vertex labellings. Zbl 1213.05229Brandt, Stephan; Miškuf, Jozef; Rautenbach, Dieter; Regen, Friedrich; Ruzsa, Imre Z. 1 2010 Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse). Zbl 1177.11005Geroldinger, Alfred; Ruzsa, Imre Z. 38 2009 Sumsets and structure. Zbl 1221.11026Ruzsa, Imre Z. 31 2009 Sumsets and entropy. Zbl 1169.11011Ruzsa, Imre Z. 6 2009 Large regular simplices contained in a hypercube. Zbl 1199.52030Maehara, Hiroshi; Ruzsa, Imre Z.; Tokushige, Norihide 3 2009 Sumsets in difference sets. Zbl 1250.11009Bergelson, Vitaly; Ruzsa, Imre Z. 3 2009 Difference sets and the primes. Zbl 1170.11023Ruzsa, Imre Z.; Sanders, Tom 5 2008 Periodic decomposition of integer valued functions. Zbl 1164.39004Károlyi, Gy.; Keleti, T.; Kós, G.; Ruzsa, I. Z. 5 2008 Plünnecke’s inequality for different summands. Zbl 1169.11010Gyarmati, Katalin; Matolcsi, Máté; Ruzsa, Imre Z. 3 2008 Freiman’s theorem in an arbitrary Abelian group. Zbl 1133.11058Green, Ben; Ruzsa, Imre Z. 61 2007 Cardinality questions about sumsets. Zbl 1140.11009Ruzsa, Imre Z. 9 2007 Arithmetic progressions in sparse sumsets. Zbl 1178.11011Croot, Ernie; Ruzsa, Imre; Schoen, Tomasz 8 2007 Binary linear forms over finite sets of integers. Zbl 1156.11011Nathanson, Melvyn B.; O’Bryant, Kevin; Orosz, Brooke; Ruzsa, Imre; Silva, Manuel 6 2007 Note on an inequality of Wegner. Zbl 1117.52020Boroczky, Karoly jun.; Ruzsa, Imre Z. 3 2007 Double and triple sums modulo a prime. Zbl 1173.11005Gyarmati, Katalin; Konyagin, Sergei; Ruzsa, Imre Z. 1 2007 Sums and difference of finite sets. Zbl 1226.11019Gyarmati, Katalin; Hennecart, François; Ruzsa, Imre Z. 1 2007 Sets with small sumset and rectification. Zbl 1155.11307Green, Ben; Ruzsa, Imre Z. 29 2006 Periodicity and almost-periodicity. Appendix by Imre Z. Ruzsa. Zbl 1103.68103Tijdeman, R. 4 2006 The structure of sets with few sums along a graph. Zbl 1105.05030Elekes, György; Ruzsa, Imre Z. 2 2006 Additive combinatorics and geometry of numbers. Zbl 1157.11008Ruzsa, Imre Z. 1 2006 Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa). Zbl 1087.28007Bergelson, Vitaly; Host, Bernard; Kra, Bryna 80 2005 Sum-free sets in abelian groups. Zbl 1158.11311Green, Ben; Ruzsa, Imre Z. 48 2005 Sum-avoiding subsets. Zbl 1155.11308Ruzsa, Imre Z. 4 2005 Counting sumsets and sum-free sets modulo a prime. Zbl 1064.11020Green, Ben; Ruzsa, Imre Z. 15 2004 Olson’s constant for the group \(\mathbb Z_p\oplus\mathbb Z_p\). Zbl 1107.11014Gao, W. D.; Ruzsa, I. Z.; Thangadurai, R. 8 2004 Negative values of cosine sums. Zbl 1154.11312Ruzsa, Imre Z. 5 2004 On the Hardy-Littlewood majorant problem. Zbl 1066.42009Green, Ben; Ruzsa, Imre Z. 5 2004 A new class of second order self-similar processes. Zbl 1068.60050Gefferth, A.; Veitch, D.; Ruzsa, I.; Maricza, I.; Molnár, S. 1 2004 On Linnik’s approximation to Goldbach’s problem. I. Zbl 1031.11060Pintz, J.; Ruzsa, I. Z. 26 2003 Few sums, many products. Zbl 1102.11009Elekes, Gy; Ruzsa, I. Z. 22 2003 The independence number of a subset of an Abelian group. Zbl 1022.11010Bajnok, Béla; Ruzsa, Imre 4 2003 The nature of discrete second-order self-similarity. Zbl 1040.60030Gefferth, A.; Veitch, D.; Maricza, I.; Molnár, S.; Ruzsa, I. 2 2003 Distance graphs with finite chromatic number. Zbl 1027.05036Ruzsa, I. Z.; Tuza, Zs.; Voigt, M. 18 2002 Upper and lower bounds for finite \(B_h[g]\) sequences. Zbl 1041.11015Cilleruelo, Javier; Ruzsa, Imre Z.; Trujillo, Carlos 15 2002 Polynomial growth of sumsets in abelian semigroups. Zbl 1077.11014Nathanson, Melvyn B.; Ruzsa, Imre Z. 6 2002 Squarefree numbers, IP sets and ergodic theory. Zbl 1042.11006Bergelson, V.; Ruzsa, I. 4 2002 Additive properties of dense subsets of sifted sequences. Zbl 0996.11057Ramaré, Olivier; Ruzsa, Imre Z. 13 2001 Additive completion of lacunary sequences. Zbl 0999.11011Ruzsa, Imre Z. 10 2001 An almost polynomial Sidon sequence. Zbl 0997.11021Ruzsa, I. Z. 2 2001 On the exponential sum over \(r\)-free integers. Zbl 1062.11055Balog, A.; Ruzsa, I. Z. 2 2001 Convexity and sumsets. Zbl 0998.11010Elekes, György; Nathanson, Melvyn B.; Ruzsa, Imre Z. 25 2000 Elementary and integral-elementary functions. Zbl 0948.26002Laczkovich, Miklós; Ruzsa, Imre Z. 2 2000 On uniformly distributed dilates of finite integer sequences. Zbl 0946.11016Konyagin, S. V.; Ruzsa, I. Z.; Schlag, W. 1 2000 On the equation \(x(x+d) \dots (x+(k-1)d)= by^2\). Zbl 0986.11022Brindza, B.; Hajdu, L.; Ruzsa, I. Z. 1 2000 An analog of Freiman’s theorem in groups. Zbl 0946.11007Ruzsa, Imre Z. 35 1999 Non-averaging subsets and non-vanishing transversals. Zbl 0927.11007Alon, Noga; Ruzsa, Imre Z. 5 1999 Erdős and the integers. Zbl 0956.11002Ruzsa, Imre Z. 4 1999 A new lower bound for the \(L^1\) mean of the exponential sum with the Möbius function. Zbl 1068.11052Balog, Antal; Ruzsa, Imre Z. 3 1999 Elementary functions. Zbl 0937.41501Laczkovich, Miklós; Ruzsa, Imre Z. 1 1999 On the parity of additive representation functions. Zbl 0921.11050Nicolas, J.-L.; Ruzsa, I. Z.; Sárközy, A. 28 1998 An infinite Sidon sequence. Zbl 0927.11005Ruzsa, Imre Z. 20 1998 Rectification principles in additive number theory. Zbl 0899.11002Bilu, Y. F.; Lev, V. F.; Ruzsa, I. Z. 17 1998 On the Schnirelmann density of sumsets. Zbl 0923.11026Hegedűs, Pál; Piroska, Gábor; Ruzsa, Imre Z. 2 1998 A small maximal Sidon set. Zbl 0911.11009Ruzsa, Imre Z. 1 1998 The number of homothetic subsets. 1st ed. Zbl 0871.52012Laczkovich, M.; Ruzsa, I. Z. 7 1997 A converse to a theorem of Erdös and Fuchs. Zbl 0872.11014Ruzsa, Imre Z. 5 1997 The Brunn-Minkowski inequality and nonconvex sets. Zbl 0888.52011Ruzsa, Imre Z. 4 1997 A problem on zero subsums in abelian groups. Zbl 0923.11039Harcos, Gergely; Ruzsa, Imre Z. 2 1997 On an additive property of stable sets. Zbl 0924.11011Balog, Antal; Ruzsa, Imre Z. 2 1997 Some results concerning convergence of convolution products of probability measures on discrete semigroups. Zbl 0870.60009Budzban, Greg; Ruzsa, Imre 1 1997 The polynomial method and restricted sums of congruence classes. Zbl 0861.11006Alon, Noga; Nathanson, Melvyn B.; Ruzsa, Imre 58 1996 Sums of finite sets. Zbl 0869.11011Ruzsa, Imre Z. 15 1996 Sumsets of Sidon sets. Zbl 0872.11013Ruzsa, Imre Z. 2 1996 Logarithmic density and measures on semigroups. Zbl 0860.11005Ruzsa, Imre Z. 1 1996 A note on Behrend sequences. Zbl 0872.11015Ruzsa, I. Z.; Tenenbaum, G. 1 1996 Paul Erdős - from an epsilon’s-eye view. Zbl 0881.01020Ruzsa, I. Z. 1 1996 Absolute convergence of an infinite convolution. Zbl 0888.60011Ruzsa, I. Z. 1 1996 Adding distinct congruence classes modulo a prime. Zbl 0849.11081Alon, Noga; Nathanson, Melvyn B.; Ruzsa, Imre 28 1995 Solving a linear equation in a set of integers. II. Zbl 1044.11617Ruzsa, Imre Z. 17 1995 Minimum shadows in uniform hypergraphs and a generalization of the Takagi function. Zbl 0820.05059Frankl, Peter; Matsumoto, Makoto; Ruzsa, Imre Z.; Tokushige, Norihide 12 1995 Additive completion and disjoint translations. Zbl 0859.11017Habsieger, L.; Ruzsa, I. Z. 6 1995 Sets of sums and commutative graphs. Zbl 0874.11014Ruzsa, I. Z. 6 1995 An application of Kloosterman sums. Zbl 0833.11039Ruzsa, Imre Z.; Schinzel, Andrzej 2 1995 Generalized arithmetical progressions and sumsets. Zbl 0816.11008Ruzsa, I. Z. 57 1994 ...and 60 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,028 Authors 36 Ruzsa, Imre Z. 26 Tao, Terence 23 Shkredov, Il’ya Dmitrievich 18 Serra, Oriol 16 Green, Ben Joseph 15 Alon, Noga M. 14 Chen, Yonggao 14 Gutin, Gregory Z. 14 Sanders, Tom 13 Cilleruelo, Javier 13 Yeo, Anders 12 Fox, Jacob 12 Schoen, Tomasz 11 Furedi, Zoltan 11 Geroldinger, Alfred 11 Menet, Quentin 11 Sun, Zhi-Wei 10 Fang, Jinhui 10 Hennecart, François 10 Roche-Newton, Oliver 9 Hegyvári, Norbert 9 Manstavičius, Eugenijus 8 Erdős, Pál 8 Grynkiewicz, David J. 8 Károlyi, Gyula 8 Lev, Vsevolod F. 8 Matolcsi, Máté 8 Miller, Steven J. 8 Peris, Alfredo 8 Plagne, Alain 8 Rué, Juanjo 8 Sudakov, Benny 8 Vu, Van H. 7 Balogh, József 7 Bourgain, Jean 7 Chang, Mei-Chu 7 Chu, Hùng Việt 7 Elliott, Peter D. T. A. 7 Petridis, Giorgis 7 Ramaré, Olivier 7 Rudnev, Misha 7 Sargsyan, Vahe Gnelovich 7 Spiegel, Christoph 7 Szemerédi, Endre 7 Tenenbaum, Gérald 7 Yin, Zongbin 6 Bernardes, Nilson C. jun. 6 Bonilla, Antonio 6 Croot, Ernie 6 Freiman, Gregory A. 6 Hamidoune, Yahya Ould 6 Helfgott, Harald Andrés 6 Longobardi, Patrizia 6 Madiman, Mokshay M. 6 Maj, Mercede 6 Rodl, Vojtech 6 Samotij, Wojciech 6 Schmid, Wolfgang Alexander 6 Šiaulys, Jonas 6 Stanchescu, Yonutz V. 6 Székely, Gábor J. 6 Tointon, Matthew C. H. 6 Zhao, Yufei 5 Bajnok, Béla 5 Bollobás, Béla 5 Breuillard, Emmanuel 5 Gao, Weidong 5 Griesmer, John T. 5 Konyagin, Sergeĭ Vladimirovich 5 Kostić, Marko 5 Liu, Zhixin 5 Lu, Guangshi 5 Morris, Robert D. 5 Murphy, Brendan 5 Nathanson, Melvyn Bernard 5 Ramana, D. S. 5 Sapozhenko, Aleksandr Antonovich 5 Shapira, Asaf 5 Sisask, Olof 5 Steinerberger, Stefan 5 Treglown, Andrew 5 Vena, Lluís 5 Zhong, Qinghai 4 Baccar, N. 4 Bayart, Frédéric 4 Bergelson, Vitaly 4 Bhanja, Jagannath 4 Björklund, Michael 4 Candela, Pablo 4 Conlon, David 4 Crowston, Robert 4 Dubickas, Artūras 4 Elekes, György 4 Fish, Alexander 4 Frankl, Péter 4 Garaev, Moubariz Z. 4 Gowers, William Timothy 4 Grytczuk, Jarosław 4 Hajdu, Lajos 4 Herzog, Marcel ...and 928 more Authors all top 5 Cited in 213 Serials 76 Journal of Number Theory 48 Journal of Combinatorial Theory. 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Commentarii Mathematici 4 Revista Matemática Iberoamericana 4 Computational Geometry 4 Linear Algebra and its Applications 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Information Processing Letters 3 Rocky Mountain Journal of Mathematics 3 Acta Mathematica 3 Journal für die Reine und Angewandte Mathematik 3 Manuscripta Mathematica 3 Semigroup Forum 3 Advances in Applied Mathematics 3 Algorithmica 3 Forum Mathematicum 3 Discrete Mathematics and Applications 3 Designs, Codes and Cryptography 3 Journal of Algebraic Combinatorics 3 Journal of Mathematical Sciences (New York) 3 Annals of Combinatorics 3 Journal of the European Mathematical Society (JEMS) 3 Acta Mathematica Sinica. English Series 3 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 3 International Journal of Group Theory 3 Forum of Mathematics, Sigma 2 American Mathematical Monthly 2 Communications in Algebra 2 Computers & Mathematics with Applications 2 Indian Journal of Pure & Applied Mathematics 2 Bulletin of the London Mathematical Society 2 Glasgow Mathematical Journal 2 Integral Equations and Operator Theory 2 Inventiones Mathematicae 2 Journal of the Korean Mathematical Society 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the London Mathematical Society. Third Series 2 SIAM Journal on Computing 2 Studia Logica 2 Statistics & Probability Letters 2 Acta Applicandae Mathematicae 2 Annals of Pure and Applied Logic 2 Order 2 Acta Mathematicae Applicatae Sinica. English Series 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Expositiones Mathematicae 2 Experimental Mathematics ...and 113 more Serials all top 5 Cited in 45 Fields 686 Number theory (11-XX) 342 Combinatorics (05-XX) 129 Group theory and generalizations (20-XX) 64 Convex and discrete geometry (52-XX) 63 Computer science (68-XX) 55 Operator theory (47-XX) 55 Probability theory and stochastic processes (60-XX) 41 Dynamical systems and ergodic theory (37-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 28 Information and communication theory, circuits (94-XX) 22 Commutative algebra (13-XX) 20 Measure and integration (28-XX) 20 Abstract harmonic analysis (43-XX) 17 Geometry (51-XX) 16 Real functions (26-XX) 13 Mathematical logic and foundations (03-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Functional analysis (46-XX) 12 Topological groups, Lie groups (22-XX) 10 Functions of a complex variable (30-XX) 10 Operations research, mathematical programming (90-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Field theory and polynomials (12-XX) 6 Algebraic geometry (14-XX) 6 General topology (54-XX) 5 Associative rings and algebras (16-XX) 5 Numerical analysis (65-XX) 4 Statistics (62-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Ordinary differential equations (34-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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