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Words, grammatical forms and meanings linked to the ontology.

arithmetic combinatorics en · NOUN

Meanings

  1. (uncountable) A field of mathematics in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis.
    • 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:
    • 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:
    • 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:

Relateds

additive combinatorics

Translations (1)

hy թվաբանական կոմբինատորիկա (field of mathematics)