Meaning of arithmetic combinatorics | Babel Free

Definitions

A field of mathematics in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis.

uncountable

Examples

“For instance, progressions and lattices play a similar role in arithmetic combinatorics that balls and subspaces play in the theory of normed vector spaces.”

“Some of the techniques involved^([with character sum problems]) belong to arithmetic combinatorics.”

“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.”

CEFR level