6. Suppose (a, m) = 1. Prove that for any b,аn +b)(m – 1).mn

Given (a,m) = 1 We have to prove that for any b , ∑n≤man+bm = 12(m-1)

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6. Suppose (a, m) = 1. Prove that for any b, Σ an + b) 1 (т — 1). n

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter7: Real And Complex Numbers

Section7.2: Complex Numbers And Quaternions

Problem 44E

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6. Suppose (a, m) = 1. Prove that for any b,
аn +b)
(m – 1).
m
n<m

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