Involve: A Journal of Mathematics

  • Involve
  • Volume 9, Number 3 (2016), 361-366.

A combinatorial proof of a decomposition property of reduced residue systems

Yotsanan Meemark and Thanakorn Prinyasart

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In this paper, we look at three common theorems in number theory: the Chinese remainder theorem, the multiplicative property of the Euler totient function, and a decomposition property of reduced residue systems. We use a grid of squares to give simple transparent visual proofs.

Article information

Involve, Volume 9, Number 3 (2016), 361-366.

Received: 16 October 2011
Revised: 21 December 2014
Accepted: 23 June 2015
First available in Project Euclid: 22 November 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 11A07: Congruences; primitive roots; residue systems

Chinese remainder theorem reduced residue system


Meemark, Yotsanan; Prinyasart, Thanakorn. A combinatorial proof of a decomposition property of reduced residue systems. Involve 9 (2016), no. 3, 361--366. doi:10.2140/involve.2016.9.361.

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