Results 31 to 40 of about 93 (44)
A solution to the Erd\H{o}s-S\'ark\"ozy-S\'os problem on asymptotic Sidon bases of order 3
, 2023 A set $S\subset \mathbb{N}$ is a Sidon set if all pairwise sums $s_1+s_2$ (for $s_1, s_2\in S$, $s_1\leq s_2$) are distinct. A set $S\subset \mathbb{N}$ is an asymptotic basis of order 3 if every sufficiently large integer $n$ can be written as the sum ...
Pilatte, Cédric
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Maximally additively reducible subsets of the integers
, 2019 Let $A, B \subseteq \mathbb{N}$ be two finite sets of natural numbers. We say that $B$ is an additive divisor for $A$ if there exists some $C \subseteq \mathbb{N}$ with $A = B+C$.
Gross, Gal
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Additive Combinatorics: A Menu of Research Problems
, 2017 This text contains over three hundred specific open questions on various topics in additive combinatorics, each placed in context by reviewing all relevant results. While the primary purpose is to provide an ample supply of problems for student research,
Bajnok, Bela
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Structures linéaires dans les ensembles à faible densité [PDF]
, 2014 Réalisé en cotutelle avec l'Université Paris-Diderot.Nous présentons trois résultats en combinatoire additive, un domaine récent à la croisée de la combinatoire, l'analyse harmonique et la théorie analytique des nombres.
Henriot, Kevin
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Improved stability for the size and structure of sumsets
Let $A \subset \mathbb{Z}^d$ be a finite set. It is known that the sumset $NA$ has predictable size ($\vert NA\vert = P_A(N)$ for some $P_A(X) \in \mathbb{Q}[X]$) and structure (all of the lattice points in some finite cone other than all of the lattice ...
Granville, Andrew +2 more
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Optimal Bounds on the Growth of Iterated Sumsets in Abelian Semigroups [PDF]
Eliahou, Shalom, Mazumdar, Eshita
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Finding product sets in some classes of amenable groups
In 2022, using methods from ergodic theory, Kra, Moreira, Richter, and Robertson resolved a longstanding conjecture of Erd\H{o}s about sumsets in large subsets of the natural numbers.
Charamaras, Dimitrios +1 more
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On additive bases in infinite abelian semigroups [PDF]
, 2023 Bienvenu, P. , Girard, B., Lê, T.
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An Exact Solution Approach for the Maximum Multicommodity K-splittable Flow Problem [PDF]
, 2009 Gamst, Mette, Petersen, Bjørn
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