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
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