The Chinese Remainder Theorem
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.
Unable to display preview. Download preview PDF.