Imre Z. Ruzsa

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All published works

Action	Title	Year	Authors
+ PDF	Beurling-Integers with Lacunarity	2024	Imre Z. Ruzsa
+ PDF	Additive decomposition of signed primes	2023	Imre Z. Ruzsa
+	Large Subsums of the Möbius Function	2023	Imre Z. Ruzsa
+	The fractional chromatic number of the plane is at least 4	2023	Máté Matolcsi Imre Z. Ruzsa Dániel Varga Pál Zsámboki
+	Beurling integers with lacunarity	2023	Imre Z. Ruzsa
+ PDF	An Analytic Approach to Cardinalities of Sumsets	2022	Dávid Matolcsi Imre Z. Ruzsa George Shakan Dmitrii Zhelezov
+	Additive decomposition of signed prime	2022	Imre Z. Ruzsa
+	A Weighted Prékopa–Leindler Inequality and Sumsets with Quasicubes	2022	Ben Green Dávid Matolcsi Imre Z. Ruzsa George Shakan Dmitrii Zhelezov
+ PDF Chat	Difference Sets and Positive Exponential Sums. II: Cubic Residues in Cyclic Groups	2021	Máté Matolcsi Imre Z. Ruzsa
+ PDF Chat	Sumsets of semiconvex sets	2021	Imre Z. Ruzsa József Solymosi
+ PDF Chat	On Distinct Consecutive Differences	2021	Imre Z. Ruzsa George Shakan József Solymosi Endre Szemerédi
+	On sums and products along the edges, II	2020	Noga Alon Imre Z. Ruzsa József Solymosi
+ PDF Chat	Nearly subadditive sequences	2020	Zoltán Füredi Imre Z. Ruzsa
+ PDF	On Linnik’s approximation to Goldbach’s problem. II	2020	J. Pintz Imre Z. Ruzsa
+	An analytic approach to cardinalities of sumsets	2020	Dávid Matolcsi Imre Z. Ruzsa George Shakan Dmitrii Zhelezov
+	A Weighted Prékopa-Leindler inequality and sumsets with quasicubes	2020	Ben Green Dávid Matolcsi Imre Z. Ruzsa George Shakan Dmitrii Zhelezov
+	On sums and products along the edges, II	2020	Noga Alon Imre Z. Ruzsa József Solymosi
+	An analytic approach to cardinalities of sumsets	2020	Dávid Matolcsi Imre Z. Ruzsa George Shakan Dmitrii Zhelezov
+ PDF	Sums, products, and ratios along the edges of a graph	2019	Noga Alon Imre Z. Ruzsa József Solymosi
+ PDF Chat	Triangulations and a Discrete Brunn–Minkowski Inequality in the Plane	2019	Károly J. Böröczky Máté Matolcsi Imre Z. Ruzsa Francisco Santos Oriol Serra
+	On distinct consecutive differences	2019	Imre Z. Ruzsa George Shakan József Solymosi Endre Szemerédi
+ PDF	On the arithmetic Kakeya conjecture of Katz and Tao	2018	Ben Green Imre Z. Ruzsa
+	Nearly subadditive sequences	2018	Zoltán Füredi Imre Z. Ruzsa
+ PDF Chat	On the size of the set AA+A	2018	Oliver Roche‐Newton Imre Z. Ruzsa Chun‐Yen Shen Ilya D. Shkredov
+ PDF Chat	Convex sequences may have thin additive bases	2018	Imre Z. Ruzsa Dmitrii Zhelezov
+ PDF	Average Goldbach and the Quasi-Riemann Hypothesis	2018	Gautami Bhowmik Imre Z. Ruzsa
+	Sums, products and ratios along the edges of a graph	2018	Noga Alon Imre Z. Ruzsa József Solymosi
+	Nearly subadditive sequences	2018	Zoltán Füredi Imre Z. Ruzsa
+	Sums, products and ratios along the edges of a graph	2018	Noga Alon Imre Z. Ruzsa József Solymosi
+	Average Goldbach and the Quasi-Riemann Hypothesis	2017	Gautami Bhowmik Imre Z. Ruzsa
+	On the arithmetic Kakeya conjecture of Katz and Tao	2017	Ben Green Imre Z. Ruzsa
+	Average Goldbach and the Quasi-Riemann Hypothesis	2017	Gautami Bhowmik Imre Z. Ruzsa
+ PDF	Exact Additive Complements	2016	Imre Z. Ruzsa
+	Monochromatic paths for the integers	2016	João Guerreiro Imre Z. Ruzsa Manuel Silva
+	More differences than multiple sums	2016	Imre Z. Ruzsa
+	Additive structure of difference sets and a theorem of følner	2016	Norbert Hegyvári Imre Z. Ruzsa
+	More differences than multiple sums	2016	Imre Z. Ruzsa
+ PDF Chat	Better Bounds for Planar Sets Avoiding Unit Distances	2015	Tamás Keleti Máté Matolcsi Fernando Mário de Oliveira Filho Imre Z. Ruzsa
+	Exact additive complements	2015	Imre Z. Ruzsa
+	Carries and the arithmetic progression structure of sets	2015	Francesco Monopoli Imre Z. Ruzsa
+	Carries and the arithmetic progression structure of sets	2015	Francesco Monopoli Imre Z. Ruzsa
+	The independence number of a subset of an abelian group	2015	Béla Bajnok Imre Z. Ruzsa
+	Carries and the arithmetic progression structure of sets	2015	Francesco Monopoli Imre Z. Ruzsa
+	Exact additive complements	2015	Imre Z. Ruzsa
+ PDF	SQUARES AND DIFFERENCE SETS IN FINITE FIELDS	2014	Christine Bachoc Imre Z. Ruzsa Máté Matolcsi
+ PDF	Difference Sets and Positive Exponential Sums I. General Properties	2013	Máté Matolcsi Imre Z. Ruzsa
+ PDF	Difference sets and frequently hypercyclic weighted shifts	2013	Frédéric Bayart Imre Z. Ruzsa
+	Sets with no solutions to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn><mml:mi>z</mml:mi></mml:math>	2013	Máté Matolcsi Imre Z. Ruzsa
+ PDF Chat	A note on the pyjama problem	2013	Romanos Diogenes Malikiosis Máté Matolcsi Imre Z. Ruzsa
+	Az analízis alkalmazása a számelméletben = Application of analysis in number theory	2013	J. Pintz Antal Balog András Bíró Gergely Harcos Szilárd Gy. Révész Imre Z. Ruzsa Andràs Sárközy Árpád Tóth
+	The Number of Homothetic Subsets	2013	Miklós Laczkovich Imre Z. Ruzsa
+ PDF	Squares and difference sets in finite fields	2013	Christine Bachoc Imre Z. Ruzsa Máté Matolcsi
+	Systems of mutually unbiased Hadamard matrices containing real and complex matrices	2013	Máté Matolcsi Imre Z. Ruzsa Mihály Weiner
+	Sets with no solutions to x + y =3 z x+y=3z.	2013	Máté Matolcsi Imre Z. Ruzsa
+	Squares and difference sets in finite fields	2013	Christine Bachoc Imre Z. Ruzsa Máté Matolcsi
+	Harmonikus analízis és additív kombinatorika = Harmonic analysis and additive combinatorics	2013	Imre Z. Ruzsa Antal Balog Ákosné G. Horváth Norbert Hegyvári Szilárd Gy. Révész Csaba Sándor
+	Difference sets and positive exponential sums I. General properties	2012	Máté Matolcsi Imre Z. Ruzsa
+ PDF	Arithmetic progressions in sparse sumsets	2012	Ernie Croot Imre Z. Ruzsa Tomasz Schoen
+	Real and complex unbiased Hadamard matrices	2012	Máté Matolcsi Imre Z. Ruzsa Mihály Weiner
+	Sets with no solutions to $x+y=3z$	2012	Máté Matolcsi Imre Z. Ruzsa
+ PDF	A set of squares without arithmetic progressions	2012	Katalin Gyarmati Imre Z. Ruzsa
+	Real and complex unbiased Hadamard matrices	2012	Máté Matolcsi Imre Z. Ruzsa Mihály Weiner
+	Difference sets and positive exponential sums I. General properties	2012	Máté Matolcsi Imre Z. Ruzsa
+	Sets with no solutions to $x+y=3z$	2012	Máté Matolcsi Imre Z. Ruzsa
+	None	2011	Javier Cilleruelo aff n Sándor Z. Kiss Imre Z. Ruzsa Carlos Vinuesa
+	The least nonzero digit of $n!$ in base $12$	2011	Jean-Marc Deshouillérs Imre Z. Ruzsa
+	The least non zero digit of n! in base 12	2011	Jean-Marc Deshouillérs Imre Z. Ruzsa
+ PDF Chat	Generalization of a theorem of Erdős and Rényi on Sidon sequences	2010	Javier Cilleruelo Sándor Z. Kiss Imre Z. Ruzsa Carlos Vinuesa
+	Generalized Sidon sets	2010	Javier Cilleruelo Imre Z. Ruzsa Carlos Vinuesa
+ PDF	A superadditivity and submultiplicativity property for cardinalities of sumsets	2010	Katalin Gyarmati Máté Matolcsi Imre Z. Ruzsa
+	Max Lin Above Average Problem and Lower Bounds for Maxima of Pseudo-boolean Functions	2010	Robert Crowston Gregory Gutin Mark Jones E. J. Kim Imre Z. Ruzsa
+	Sumsets and the Convex Hull	2010	Máté Matolcsi Imre Z. Ruzsa
+ PDF Chat	Systems of Linear Equations over $\mathbb{F}_2$ and Problems Parameterized above Average	2010	Robert Crowston Gregory Gutin Mark Jones Eun Jung Kim Imre Z. Ruzsa
+	Towards A Noncommutative Plünnecke-Type Inequality	2010	Imre Z. Ruzsa
+ PDF	Sumsets in difference sets	2009	Vitaly Bergelson Imre Z. Ruzsa
+ PDF	Large regular simplices contained in a hypercube	2009	Hiroshi Maehara Imre Z. Ruzsa Norihide Tokushige
+	Generalization of a theorem of Erdos and Renyi on Sidon Sequences	2009	Javier Cilleruelo Sándor Z. Kiss Imre Z. Ruzsa Carlos Vinuesa
+	Generalized Sidon sets	2009	Javier Cilleruelo Imre Z. Ruzsa Carlos Vinuesa
+	Combinatorial Number Theory and Additive Group Theory	2009	Alfred Geroldinger Imre Z. Ruzsa
+	Sumsets and entropy	2008	Imre Z. Ruzsa
+	Számelmélet és kombinatorikus vonatkozásai = Number Theory and its Interactions with Combinatorics	2008	Vera T. Sós András Bíró György Elekes Imre Z. Ruzsa Endre Szemerédi
+ PDF Chat	Plünnecke’s Inequality for Different Summands	2008	Katalin Gyarmati Máté Matolcsi Imre Z. Ruzsa
+ PDF	Difference sets and the primes	2008	Imre Z. Ruzsa Tom Sanders
+	Sumsets and the convex hull	2008	Máté Matolcsi Imre Z. Ruzsa
+	Plunnecke's inequality for different summands	2008	Katalin Gyarmati Máté Matolcsi Imre Z. Ruzsa
+	Double and triple sums modulo a prime	2007	Katalin Gyarmati Sergeĭ Konyagin Imre Z. Ruzsa
+	Cardinality questions about sumsets	2007	Imre Z. Ruzsa
+	Additive combinatorics and geometry of numbers	2007	Imre Z. Ruzsa
+ PDF	Note on an Inequality of Wegner	2007	Károly J. Böröczky Imre Z. Ruzsa
+ PDF Chat	Freiman's theorem in an arbitrary abelian group	2007	Ben Green Imre Z. Ruzsa
+ PDF	Binary linear forms over finite sets of integers	2007	Melvyn B. Nathanson Kevin O’Bryant Brooke Orosz Imre Z. Ruzsa Manuel Silva
+ PDF	Sums and differences of finite sets	2007	Katalin Gyarmati François Hennecart Imre Z. Ruzsa
+	A superadditivity and submultiplicativity property for cardinalities of sumsets	2007	Katalin Gyarmati Imre Z. Ruzsa Máté Matolcsi
+	Additív és multiplikatív számelmélet = Additive and multiplicative number theory	2007	Imre Z. Ruzsa Antal Balog Norbert Hegyvári J. Pintz Csaba Sándor
+	Additive and multiplicative Sidon sets	2006	Imre Z. Ruzsa
+	The structure of sets with few sums along a graph	2006	György Elekes Imre Z. Ruzsa
+ PDF Chat	SETS WITH SMALL SUMSET AND RECTIFICATION	2006	Ben Green Imre Z. Ruzsa
+	SETS WITH SMALL SUMSET AND RECTIFICATION	2006	Ben Green Imre Z. Ruzsa
+ PDF Chat	Sum-free sets in abelian groups	2005	Ben Green Imre Z. Ruzsa
+ PDF	Multiple recurrence and nilsequences	2005	Vitaly Bergelson Bernard Host Bryna Kra Imre Z. Ruzsa
+	Freiman's Theorem in an arbitrary abelian group	2005	Ben Green Imre Z. Ruzsa
+	Prime values of reducible polynomials, II	2005	Yong-Gao Chen Gábor Kun Gábor Pete Imre Z. Ruzsa Ádám Timár
+ PDF Chat	On the Hardy–Littlewood majorant problem	2004	Ben Green Imre Z. Ruzsa
+	Counting sumsets and sum-free sets modulo a prime	2004	B. Green Imre Z. Ruzsa
+	Olson's constant for the group Zp⊕Zp	2004	Weidong Gao Imre Z. Ruzsa R. Thangadurai
+	Counting sumsets and sum-free sets modulo a prime	2004	Ben Green Imre Z. Ruzsa
+ PDF	Negative values of cosine sums	2004	Imre Z. Ruzsa
+	Real and p -adic Sidon sequences	2004	Javier Cilleruelo Imre Z. Ruzsa
+	A problem on restricted sumsets	2004	Imre Z. Ruzsa
+	Sets with small sumset and rectification	2004	Ben Green Imre Z. Ruzsa
+	Few sums, many products	2003	György Elekes Gy. Imre Z. Ruzsa
+	Remarks on prime values of polynomials at prime arguments	2003	Imre Z. Ruzsa S. Turjányi
+ PDF	The Independence Number of a Subset of an Abelian Group	2003	Béla Bajnok Imre Z. Ruzsa
+ PDF	On Linnik's approximation to Goldbach's problem, I	2003	J. Pintz Imre Z. Ruzsa
+	Sum-free sets in abelian groups	2003	Ben Green Imre Z. Ruzsa
+	The independence number of a subset of an Abelian group.	2003	Béla Bajnok Imre Z. Ruzsa
+	Upper and Lower Bounds for Finite Bh[g] Sequences	2002	Javier Cilleruelo Imre Z. Ruzsa Carlos A. Trujillo
+	Distance Graphs with Finite Chromatic Number	2002	Imre Z. Ruzsa Zs. Tuza Margit Voigt
+	Polynomial growth of sumsets in abelian semigroups	2002	Melvyn B. Nathanson Imre Z. Ruzsa
+ PDF Chat	Prime values of reducible polynomials, II	2002	Yong-Gao Chen Gábor Kun Gábor Pete Imre Z. Ruzsa Ádám Timár
+ PDF	Polynomial growth of sumsets in abelian semigroups	2002	Melvyn B. Nathanson Imre Z. Ruzsa
+	Polynomial growth of sumsets in abelian semigroups	2002	Melvyn B. Nathanson Imre Z. Ruzsa
+	Consecutive primes modulo 4	2001	Imre Z. Ruzsa
+	An almost polynomial Sidon sequence	2001	Imre Z. Ruzsa
+	Additive Completion of Lacunary Sequences	2001	Imre Z. Ruzsa
+	None	2001	Antal Balog Imre Z. Ruzsa
+	Deductions. Further Derived Rules	2001	Imre Z. Ruzsa
+ PDF	Additive properties of dense subsets of sifted sequences	2001	Olivier Ramaré Imre Z. Ruzsa
+	Convexity and Sumsets	2000	György Elekes Melvyn B. Nathanson Imre Z. Ruzsa
+	On Uniformly Distributed Dilates of Finite Integer Sequences	2000	Sergeĭ Konyagin Imre Z. Ruzsa Wilhelm Schlag
+ PDF	ON THE EQUATION x(x+d)…(x+(k-1)d)=by 2	2000	Β. Brindza Lajos Hajdu Imre Z. Ruzsa
+	Additive functions with monotonic norm	2000	Imre Z. Ruzsa
+ PDF	Elementary and integral-elementary functions	2000	Miklós Laczkovich Imre Z. Ruzsa
+ PDF	Prime values of reducible polynomials, I	2000	Yong-Gao Chen Imre Z. Ruzsa
+	On Mahler’s measure for polynomials in several variables	1999	Imre Z. Ruzsa
+	Erdős and the Integers	1999	Imre Z. Ruzsa
+	A New Lower Bound for the <i>L</i> <sup>1</sup> Mean of the Exponential Sum with the Möbius Function	1999	Antal Balog Imre Z. Ruzsa
+	Non-averaging Subsets and Non-vanishing Transversals	1999	Noga Alon Imre Z. Ruzsa
+	None	1999	Yong-Gao Chen Imre Z. Ruzsa
+	ADDITIVE NUMBER THEORY: THE CLASSICAL BASES (Graduate Texts in Mathematics 164)	1999	Imre Z. Ruzsa
+	On the Parity of Additive Representation Functions	1998	Jean-Louis Nicolas Imre Z. Ruzsa Andràs Sárközy
+	On the Schnirelmann density of sumsets	1998	Pál Hegedüs Gábor Piroska Imre Z. Ruzsa
+ PDF	Rectification Principles in Additive Number Theory	1998	Yuri Bilu Vsevolod F. Lev Imre Z. Ruzsa
+	A Small Maximal Sidon Set	1998	Imre Z. Ruzsa
+	An Infinite Sidon Sequence	1998	Imre Z. Ruzsa
+ PDF	On the additive completion of primes	1998	Imre Z. Ruzsa
+	A Converse to a Theorem of Erdős and Fuchs	1997	Imre Z. Ruzsa
+	On an Additive Property of Stable Sets	1997	Antal Balog Imre Z. Ruzsa
+	None	1997	Imre Z. Ruzsa
+	None	1997	Gergely Harcos Imre Z. Ruzsa
+	The Number of Homothetic Subsets	1997	Miklós Laczkovich Imre Z. Ruzsa
+	Logarithmic density and measures on semigroups	1996	Imre Z. Ruzsa
+	Absolute convergence of an infinite convolution	1996	Imre Z. Ruzsa
+	The Polynomial Method and Restricted Sums of Congruence Classes	1996	Noga Alon Melvyn B. Nathanson Imre Z. Ruzsa
+	Sums of Finite Sets	1996	Imre Z. Ruzsa
+	A note on Behrend sequences	1996	Imre Z. Ruzsa Gérald Tenenbaum
+ PDF	Sumsets of Sidon sets	1996	Imre Z. Ruzsa
+ PDF	Adding Distinct Congruence Classes Modulo a Prime	1995	Noga Alon Melvyn B. Nathanson Imre Z. Ruzsa
+ PDF	Adding Distinct Congruence Classes Modulo a Prime	1995	Noga Alon Melvyn B. Nathanson Imre Z. Ruzsa
+	An application of Kloosterman sums	1995	Imre Z. Ruzsa Andrzej Schinzel
+	Minimum shadows in uniform hypergraphs and a generalization of the Takagi function	1995	Péter Frankl Makoto Matsumoto Imre Z. Ruzsa Norihide Tokushige
+ PDF	Solving a linear equation in a set of integers II	1995	Imre Z. Ruzsa
+	Sum of sets in several dimensions	1994	Imre Z. Ruzsa
+	Generalized arithmetical progressions and sumsets	1994	Imre Z. Ruzsa
+	On an Inequality of Erdős and Turán Concerning Uniform Distribution Modulo One, II	1994	Imre Z. Ruzsa
+ PDF	Solving a linear equation in a set of integers I	1993	Imre Z. Ruzsa
+	Integer Sum Sets Containing Long Arithmetic Progressions	1992	Gregory A. Freiman H. Halberstam Imre Z. Ruzsa
+	Arithmetical progressions and the number of sums	1992	Imre Z. Ruzsa
+	Bounds for arrays of dots with distinct slopes or lengths	1992	P. Erdős Ron Graham Imre Z. Ruzsa Herbert Taylor
+	On the number of sums and differences	1992	Imre Z. Ruzsa
+	On a multiplicative property of sequences of integers	1992	Imre Z. Ruzsa Andràs Sárközy
+ PDF	A concavity property for the measure of product sets in groups	1992	Imre Z. Ruzsa
+	Diameter of sets and measure of sumsets	1991	Imre Z. Ruzsa
+ PDF	On approximating Lebesgue integrals by Riemann sums	1991	Szilárd Gy. Révész Imre Z. Ruzsa
+ PDF	Arithmetic progressions in sumsets	1991	Imre Z. Ruzsa
+	Infinite Convolution of Distributions on Discrete Commutative Semigroups	1991	Imre Z. Ruzsa
+ PDF	The density of the set of sums	1991	Imre Z. Ruzsa
+	A just basis	1990	Imre Z. Ruzsa
+	An additive problem for powers of primes	1989	Imre Z. Ruzsa
+	Infinite divisibility II	1988	Imre Z. Ruzsa
+	Infinite divisibility	1988	Imre Z. Ruzsa
+ PDF	On an additive property of squares and primes	1988	Imre Z. Ruzsa
+	Algebraic probability theory	1988	Imre Z. Ruzsa Gábor J. Székely
+	Essential Components	1987	Imre Z. Ruzsa
+	A note on our paper “theory of decomposition in semigroups”	1986	Imre Z. Ruzsa Gábor J. Székely
+ PDF	No distribution is prime	1985	Imre Z. Ruzsa Gábor J. Székely
+	On measures of intersectivity	1984	Imre Z. Ruzsa
+	Difference sets without squares	1984	Imre Z. Ruzsa
+	Generalized moments of additive functions	1984	Imre Z. Ruzsa
+	Decompositions of probability measures on groups	1984	Imre Z. Ruzsa Gábor J. Székely
+	Convolution quotients of nonnegative functions	1983	Imre Z. Ruzsa Gábor J. Székely
+	On the variance of additive functions	1983	Imre Z. Ruzsa
+	On the small sieve. II. sifting by composite numbers	1982	Imre Z. Ruzsa
+ PDF	Semigroup-valued multiplicative functions	1982	Imre Z. Ruzsa
+	Infinite convolution and shift-convergence of measures on topological groups	1982	Imre Z. Ruzsa
+	Irreducible and prime distributions	1982	Imre Z. Ruzsa Gábor J. Székely
+	Uniform distrubution, positive trigonometric polynomials and difference sets	1982	Imre Z. Ruzsa
+	On the concentration of additive functions	1980	Imre Z. Ruzsa
+	On the small sieve. I. Sifting by primes	1980	P. Erdős Imre Z. Ruzsa
+	Additive functions with bounded difference	1979	Imre Z. Ruzsa
+	On the additive completion of linear recurrence sequences	1978	Imre Z. Ruzsa
+ PDF	General multiplicative functions	1977	Imre Z. Ruzsa
+	Probabilistic Generalization of a Number-Theoretical Inequality	1976	Imre Z. Ruzsa
+	Die Begriffswelt der Mathematik	1976	Imre Z. Ruzsa
+	On the Prime Factors of \binom2nn	1975	P. Erdős R. L. Graham Imre Z. Ruzsa E. G. Straus
+ PDF	On the prime factors of (²ⁿ_{𝑛})	1975	Péter L. Erdős R. L. Graham Imre Z. Ruzsa E. G. Straus
+ PDF	On a Problem of P. Erdös	1972	Imre Z. Ruzsa
+	Aufsätze über Logik	1971	Ilona Koncz Sándor Szigetvári Imre Z. Ruzsa László G. Hársing László Erdei György Tamás Ida Vas

Common Coauthors

Coauthor	Papers Together
Máté Matolcsi	24
Ben Green	13
Noga Alon	9
Melvyn B. Nathanson	8
József Solymosi	8
George Shakan	7
Katalin Gyarmati	7
Gábor J. Székely	6
Antal Balog	6
Dmitrii Zhelezov	6
Javier Cilleruelo	6
Carlos Vinuesa	5
Dávid Matolcsi	5
J. Pintz	4
Szilárd Gy. Révész	3
Francesco Monopoli	3
Gautami Bhowmik	3
Zoltán Füredi	3
Endre Szemerédi	3
Andràs Sárközy	3
Yong-Gao Chen	3
Mihály Weiner	3
Christine Bachoc	3
Norbert Hegyvári	3
Sándor Z. Kiss	3
P. Erdős	3
Béla Bajnok	3
György Elekes	3
Miklós Laczkovich	3
Gábor Kun	2
András Bíró	2
R. L. Graham	2
Mark Jones	2
Csaba Sándor	2
Sergeĭ Konyagin	2
Manuel Silva	2
Norihide Tokushige	2
Robert Crowston	2
Gábor Pete	2
Jean-Marc Deshouillérs	2
E. G. Straus	2
Gregory Gutin	2
Károly J. Böröczky	2
Ádám Timár	2
Gergely Harcos	2
Vitaly Bergelson	2
Vera T. Sós	1
Ilona Koncz	1
Bryna Kra	1
Árpád Tóth	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	An Application of Graph Theory to Additive Number Theory	1985	Noga Alon P. Erdős	15
+	Cyclic Spaces for Grassmann Derivatives and Additive Theory	1994	J. A. Dias Da Silva Yahya Ould Hamidoune	8
+ PDF	Solving a linear equation in a set of integers I	1993	Imre Z. Ruzsa	7
+	On a Problem of Sidon in Additive Number Theory, and on some Related Problems	1941	P. Erdős P. Túrán	7
+	Generalized arithmetical progressions and sumsets	1994	Imre Z. Ruzsa	7
+	Linear problems in combinatorial number theory	1975	János Komlós M. Sulyok Endre Szemerédi	7
+	Old and new problems and results in combinatorial number theory	1980	P. Erdős Ronald Graham	7
+	Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis	1994	Hugh L. Montgomery	6
+	On Certain Sets of Integers	1953	K. F. Roth	5
+ PDF	A theorem in finite projective geometry and some applications to number theory	1938	James Singer	5
+	Additive number theory: inverse problems and the geometry of sumsets	1997	Melvyn B. Nathanson	5
+	Probability Measures on Locally Compact Groups	1977	Herbert Heyer	5
+ PDF	Some results on additive number theory	1954	Paul Erdös	5
+	Integer sets containing no arithmetic progressions	1990	Endre Szemerédi	5
+	Integer Sets Containing No Arithmetic Progressions	1987	D. R. Heath‐Brown	5
+	A polynomial bound in Freiman's theorem	2002	Mei-Chu Chang	5
+ PDF	On sets of integers containing k elements in arithmetic progression	1975	Endre Szemerédi	5
+	Additive Combinatorics	2006	Terence Tao Van H. Vu	5
+	An inequality for B2-sequences	1969	Bernt Linström	5
+ PDF	The Brunn-Minkowski inequality	2002	Richard J. Gardner	5
+ PDF	Arithmetic progressions in sumsets	1991	Imre Z. Ruzsa	4
+ PDF Chat	COMPRESSIONS, CONVEX GEOMETRY AND THE FREIMAN–BILU THEOREM	2006	Brian Green Terence Tao	4
+ PDF	On a problem of additive number theory	1954	G. G. Lorentz	4
+ PDF	On the addition of residue classes mod p	1964	P. Erdős H. Heilbronn	4
+ PDF	A Brunn-Minkowski inequality for the integer lattice	2001	Richard J. Gardner Paolo Gronchi	4
+	Extremal problems in discrete geometry	1983	Endre Szemerédi W. T. Trotter	4
+ PDF	Additive properties of random sequences of positive integers	1960	Paul Erdös A. Rényi	4
+	On a Theorem of Plünnecke Concerning the Sum of A Basis and A Set of Positive Density	1995	Janice L. Malouf	4
+	On Sets of Integers Which Contain No Three Terms in Arithmetical Progression	1946	Felix Behrend	4
+ PDF	A superadditivity and submultiplicativity property for cardinalities of sumsets	2010	Katalin Gyarmati Máté Matolcsi Imre Z. Ruzsa	4
+	Arithmetical progressions and the number of sums	1992	Imre Z. Ruzsa	4
+	What is the structure of K if K+K is small?	1987	Gregory A. Freiman	4
+	A Dense Infinite Sidon Sequence	1981	Miklós Ajtai János Komlós Endre Szemerédi	4
+	The Critical Pairs of Subsets of a Group of Prime Order	1956	A. G. Vosper	4
+	Sums of Finite Sets	1996	Imre Z. Ruzsa	3
+	A Generalisation of the Theorem of Cauchy and Davenport	1974	J. M. Pollard	3
+	How many slopes in a polygon?	1981	Richard Mansfield	3
+	The Polynomial Method and Restricted Sums of Congruence Classes	1996	Noga Alon Melvyn B. Nathanson Imre Z. Ruzsa	3
+	Diameter of sets and measure of sumsets	1991	Imre Z. Ruzsa	3
+ PDF	Sidon sets in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">N</mml:mi><mml:mi>d</mml:mi></mml:msup></mml:math>	2009	Javier Cilleruelo	3
+	Newton polyhedron, Hilbert polynomial, and sums of finite sets	1992	Askold Khovanskiĭ	3
+ PDF	Adding Distinct Congruence Classes Modulo a Prime	1995	Noga Alon Melvyn B. Nathanson Imre Z. Ruzsa	3
+	Bounding multiplicative energy by the sumset	2009	József Solymosi	3
+	On a refinement of Waring's problem	2000	Van H. Vu	3
+	Infinite convolution and shift-convergence of measures on topological groups	1982	Imre Z. Ruzsa	3
+ PDF	Delphic semi-groups, infinitely divisible regenerative phenomena, and the arithmetic of p-functions	1968	David G. Kendall	3
+ PDF	Generalization of an inequality of Heilbronn and Rohrbach	1948	Felix Behrend	3
+ PDF	More Delphic theory and practice	1969	Rollo Davidson	3
+	Product-Free Subsets of Groups	1998	Kiran S. Kedlaya	3
+	Ein Satz �ber trigonometrische Polynome und seine Anwendung in der Theorie der Fourier-Reihen	1932	S. Sidon	3