The Chinese Remainder Theorem

  • Lindsay N. Childs
Part of the Undergraduate Texts in Mathematics book series (UTM)


The Chinese remainder theorem is so named because it was known to the ancient Chinese. In its original form, it is good for solving problems, as we’ll see in the exercises. But suitably reinterpreted, it is a powerful tool for helping us understand how numbers relate in different moduli. As a first application, it yields a nice proof of a formula for Euler’s phi-function.


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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Lindsay N. Childs
    • 1
  1. 1.Department of MathematicsSUNY at AlbanyAlbanyUSA

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