Word.ws English Dictionary

arithmetic combinatorics

arithmetic combinatorics noun: a field of mathematics in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis.

Noun

arithmetic combinatorics (uncountable)

  1. 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...

Questions about arithmetic combinatorics

What does arithmetic combinatorics mean?
Arithmetic combinatorics means a field of mathematics in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis.
What part of speech is arithmetic combinatorics?
Arithmetic combinatorics is a noun.

Words near arithmetic combinatorics in the dictionary

  1. arithmetic
  2. arithmetic average
  3. arithmetic averages
  4. arithmetic bug
  5. arithmetic bugs
  6. arithmetic combinatorics
  7. arithmetic densities
  8. arithmetic density
  9. arithmetic function
  10. arithmetic functions
  11. arithmetic geometry

Source and license

Adapted from Wiktionary: arithmetic combinatorics (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “arithmetic combinatorics.” Word.ws, https://word.ws/arithmetic_combinatorics. Based on Wiktionary, CC BY-SA 4.0.