arithmetic combinatorics
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English
Noun
arithmetic combinatorics (uncountable)
- (mathematics) A field of mathematics in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis.
- 2006, Terence Tao, Van H. Vu, Additive Combinatorics, Cambridge University Press, page 112:
- For instance, progressions and lattices play a similar role in arithmetic combinatorics that balls and subspaces play in the theory of normed vector spaces.
- 2016, Mei-Chu Chang, “Character sums and arithmetic combinatorics”, in Andrew Beveridge, Jerrold R. Griggs, Leslie Hogben, Gregg Musiker, Prasad Tetali, editors, Recent Trends in Combinatorics, Springer,, page 405:
- Some of the techniques involved[with character sum problems] belong to arithmetic combinatorics.
- 2019, Cain Mckay, Probability and Statistics, ED-Tech Press, page 23:
- Arithmetic combinatorics arose out of the interplay between number theory, combinatorics, ergodic theory and harmonic analysis. […] One important technique in arithmetic combinatorics is the ergodic theory of dynamical systems.
Related terms
Translations
field of mathematics
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Further reading
Szemerédi's theorem on Wikipedia.Wikipedia - Problems involving arithmetic progressions on Wikipedia.Wikipedia
