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Meaning of arithmetic combinatorics | Babel Free

Noun CEFR B2

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

B2
Upper Intermediate
This word is part of the CEFR B2 vocabulary — upper intermediate level.
See all B2 English words →

See also

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