Prove the following results. (I). If n = 2(mod 4), then n is the sum of three squares of integers. (II). If n = 1(mod 8), then n is the sum of three squares of integers. (III). If n = 3(mod 8), thenn is the sum of three squares of integers.
Prove the following results. (I). If n = 2(mod 4), then n is the sum of three squares of integers. (II). If n = 1(mod 8), then n is the sum of three squares of integers. (III). If n = 3(mod 8), thenn is the sum of three squares of integers.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 49E: Show that if the statement
is assumed to be true for , then it can be proved to be true for . Is...
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