plural of modular arithmetic

(number theory) Any system of arithmetic for integers which, for some given positive integer n, is equivalent to the set of integers being mapped onto the finite set {0, ... n} according to congruence modulo n, and in which addition and multiplication are defined consistently with the results of ordinary arithmetic being so mapped.

Synonym of arithmetic progression

plural of arithmetical progression

(statistics) The arithmetic mean.

(mathematics) A developing branch of mathematics in which techniques of algebraic geometry are applied to number theory, in particular being concerned with schemes of finite type over the spectrum of the ring of integers, Spec(ℤ).

plural of arithmetic hierarchy

plural of arithmetical hierarchy

plural of arithmetic average

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