# Reduced system of residues

From Encyclopedia of Mathematics

*reduced residue system, modulo *

A set of numbers from a complete system of residues modulo that are mutually prime with . A reduced residue system modulo consists of numbers, where is Euler's -function (cf. Euler function). One usually takes the numbers mutually prime with in the complete residue system as reduced residue system.

**How to Cite This Entry:**

Reduced system of residues.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Reduced_system_of_residues&oldid=13499

This article was adapted from an original article by S.A. Stepanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article