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Arithmetic combinatorics
Known as:
Additive combinatorics
, Multiplicative combinatorics
In mathematics, arithmetic combinatorics is a field in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis.
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Related topics
Related topics
4 relations
Ergodic Ramsey theory
Ergodic theory
Integer-valued polynomial
Shapley–Folkman lemma
Papers overview
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2018
2018
Topics in metric geometry, combinatorial geometry, extremal combinatorics and additive combinatorics
Luka Milićević
2018
Corpus ID: 125806488
I would like to thank Trinity College and Department of Pure Mathematics and Mathematical Statistics for their generous…
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2017
2017
Higher Distance Energies and Expanders with Structure
C. Pohoata
,
Adam Sheffer
2017
Corpus ID: 119163820
We adapt the idea of higher moment energies, originally used in Additive Combinatorics, so that it would apply to problems in…
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2016
2016
"Dilates and Baumslag-Solitar groups", conferenza tenuta nell'ambito del Convegno Additive Combinatorics in BordeauxInstitut de Mathématiques de Bordeaux, France11-15/04/ 2016
P. Longobardi
2016
Corpus ID: 125344728
2016
2016
Connections between graph theory, additive combinatorics, and finite incidence geometry
Michael Tait
2016
Corpus ID: 123520500
Author(s): Tait, Michael | Advisor(s): Verstraete, Jacques | Abstract: This thesis studies problems in extremal graph theory…
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2015
2015
Lower Bounds on Same-Set Inner Product in Correlated Spaces
Jan Hazla
,
Thomas Holenstein
,
Elchanan Mossel
International Workshop and International Workshop…
2015
Corpus ID: 14245823
Let $\mathcal{P}$ be a probability distribution over a finite alphabet $\Omega^\ell$ with all $\ell$ marginals equal. Let…
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2015
2015
The Ruzsa divergence for random elements in locally compact abelian groups
M. Madiman
,
Ioannis Kontoyiannis
arXiv.org
2015
Corpus ID: 14767927
Over the past few years, a family of interesting new inequali ties for the entropies of sums and differences of random variables…
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2015
2015
Stability results in additive combinatorics and graph theory
Simão Herdade
2015
Corpus ID: 123710434
2010
2010
Partial Gaussian sums in finite fields
Ke Gong
2010
Corpus ID: 115183939
We generalize Burgess' results on partial Gaussian sums to arbitrary finite fields. The main ingredients are the classical method…
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2008
2008
An improved estimate on sums of product sets
M. Rudnev
2008
Corpus ID: 18936211
In a recent paper \cite{Gl} A. Glibichuk proved that if $A,B$ are subsets of an arbitrary finite filed $\F_q$, such that $|A||B…
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2007
2007
Topics in arithmetic combinatorics
T. Sanders
2007
Corpus ID: 117104546
E-thesis pagination differs from approved hard bound copy, Cambridge University Library classmark: PhD.30726