Congruences : Number Theory #Congruences #: #Number #Theory
Congruences : The property of congruence provides a way of classifying integers according to the remainder obtained upon division by a fixed positive integer. In fact the remainder is the only thing of interest. In this section we study a relation on the integers that is defined in terms of remainders. Definition : Let m be a fixed positive integer and a,b 𝛜 Z. 'a' is said to be " congruent to ...