arithmetic combinatorics
noun1
Mathematics, Sciences A field of mathematics in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis.
- For instance, progressions and lattices play a similar role in arithmetic combinatorics that balls and subspaces play in the theory of normed vector spaces.2006, Terence Tao, Van H. Vu, Additive Combinatorics, Cambridge University Press, page 112:
- Some of the techniques involved^([with character sum problems]) belong to arithmetic combinatorics.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:
1 more example
- 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.2019, Cain Mckay, Probability and Statistics, ED-Tech Press, page 23:
- Related terms
- additive combinatorics