13. If p = 1(mod 3), define a cubic symbol (#), = u²³ in Up. 3 Then u is a cube if and only if ( What values are possible for (#), U = 1. 3 ? What happens if p ‡ 1(mod 3)
13. If p = 1(mod 3), define a cubic symbol (#), = u²³ in Up. 3 Then u is a cube if and only if ( What values are possible for (#), U = 1. 3 ? What happens if p ‡ 1(mod 3)
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 30E: 30. Prove that any positive integer is congruent to its units digit modulo .
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