## Explore our Solution Library

: 1944 195 2 573 0 0

# Math 324 homework help Alberta university

Question - Math 324 Assignment 5 (due October 15)

1.(6) Consider the sum âˆ‘ Ï‰ Ï‰ k, where Ï‰ varies over all n complex roots of x n âˆ’ 1. Show
that this sum equals n if n di vides k, and equals 0 otherwise.

2.(6) Show that the greatest common divisor of 4k + 6 and 6k + 7 is 1, for all integers k.

3.(5) (9.1, #12) Let a, b, and m â‰¥ 1 be integers with a, b both relatively prime to m. Show
that ord
m(ab) = ordm(a)â‹…ordm(b) if ordm(a) and ordm(b) are relatively prime.

4.( 2+2+2 ) Determine all primitive roots mod p, when p = 11, 13, and 17.

5.( 5) Suppose that r and s are both primitive roots mod m. Show that
indr(a) â‰¡ indr(s) â‹…inds(a) mod Ï†(m) holds for all a wit ...Read More

Solution Preview - ¸) have period 2 Ï€, exactly, hence (using the notation of (D2.0)) e n(h) = 1 â‡” h â‰¡ 0 mod n follows from (D2.0e)). By the division algorithm and (D2.0d), {e n(h): 0 â‰¤ h < n} = {en(1)h: 0 â‰¤ h < n} are all n of the different en(h)â€™s, all of which have (e n(1)h)n = en(1)hn = en(n)h = 1h = 1. Thus these are all of the Ï‰â€™s and our s Hire Me
4.5/5

### Original Question Documents

N/A

AllAssignmentHelp.com makes sure that each of our writers is screened through rigorous tests to evaluate their academic credentials. If you stuck in the middle of your dissertation or not even started your dissertation, get your work done from us. We provide every type of academic writing to the students. Assignment help, custom essays, or dissertation writing services you can take any help and we provide your assignment or any other academic work after proofreading and editing. So don’t wait and get our 100% worthy services to reach a step nearer to success.