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Keyword

sumsets

Description: In additive combinatorics, sumsets are sets formed by adding each element of one set to each element of another.
Wikidata ID: wiki/Q3489869
OpenAlex ID: keywords/sumsets
On a Problem of Sidon in Additive Number Theory, and on some Related Problems
1941 · P. Erdös, P. Turán · Journal of the London Mathematical Society · 431
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Additive number theory: inverse problems and the geometry of sumsets
1997 · Choice Reviews Online · 413
Foundations of a Structural Theory of Set Addition
2007 · G. Freiman · Translations of mathematical monographs · 347
On Triples in Arithmetic Progression
1999 · J. Bourgain · Geometric and Functional Analysis · 248
Additive combinatorics
2007 · Choice Reviews Online · 202
Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions
2000 · Yuval Peres, Wilhelm Schlag · Duke Mathematical Journal · 200
Theorems in the additive theory of numbers
1962 · R. C. Bose, S. Chowla · Commentarii Mathematici Helvetici · 187
Generalized arithmetical progressions and sumsets
1994 · I. Z. Ruzsa · Acta Mathematica Academiae Scientiarum Hungaricae · 184
On the number of sums and products
1997 · György Elekes · Acta Arithmetica · 182
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Absch�tzung der asymptotischen Dichte von Summenmengen
1953 · Martin Kneser · Mathematische Zeitschrift · 180
A theorem in additive number theory
1969 · Roger Crocker · Colloquium Mathematicum · 170
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Freiman's theorem in an arbitrary abelian group
2007 · Ben Green, Imre Z. Ruzsa · Journal of the London Mathematical Society · 164
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A statistical theorem of set addition
1994 · Antal Balog, Endre Szemer�di · COMBINATORICA · 163
On difference sets of sequences of integers. III
1978 · A. Sárközy · Acta Mathematica Academiae Scientiarum Hungaricae · 158
An Application of Graph Theory to Additive Number Theory
1985 · Noga Alon, P. Erdös · European Journal of Combinatorics · 157
On the Bogolyubov–Ruzsa lemma
2012 · Tom Sanders · Analysis & PDE · 152
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Bounding multiplicative energy by the sumset
2009 · József Solymosi · Advances in Mathematics · 141
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The Polynomial Method and Restricted Sums of Congruence Classes
1996 · Noga Alon, Melvyn B. Nathanson, et al. · Journal of Number Theory · 139
A Dense Infinite Sidon Sequence
1981 · Miklós Ajtai, János Komlós, et al. · European Journal of Combinatorics · 137
On small sumsets in an abelian group
1960 · J. H. B. Kemperman · Acta Mathematica · 130
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On difference sets of sequences of integers. I
1978 · A. Sárközy · Acta Mathematica Academiae Scientiarum Hungaricae · 124
Finite field models in additive combinatorics
2005 · Ben Green · Cambridge University Press eBooks · 108
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Additive Combinatorics
2007 · Granville, Andrew, Nathanson, Melvyn, et al. · CRM proceedings & lecture notes · 97
On a Problem in Additive Number Theory
1948 · Richard Bellman, Harold N. Shapiro · Annals of Mathematics · 89
New proofs of Plünnecke-type estimates for product sets in groups
2012 · Giorgis Petridis · COMBINATORICA · 88
Works count: 2,321
Citation count: 17,780
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