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- Find all the primitive roots of - Mathematics Stack Exchange
Find all the primitive roots of 13 13 My attempt: Since that 13 13 is a prime I need to look for g g such that g13−1 ≡ 1 (mod 13) g 13 1 ≡ 1 (mod 13) There are ϕ(12) = 4 ϕ (12) = 4 classes modulo 12 12 how can I find the classes?
- Intuition behind primitive sublattices - Mathematics Stack Exchange
Intuition behind primitive sublattices Ask Question Asked 3 years, 1 month ago Modified 2 years, 6 months ago
- Primitive $p$-th root of unity with characteristic $p$
I already found this topic (No field of characteristic p> 0 p> 0 contains a primitive pth p t h root of unity ), but it didn't answer my questions, maybe it can still help somebody
- Product of primitve characters - Mathematics Stack Exchange
I saw a few posts that says we can actually show that the product of primitive characters with co-prime moduli, is actually primitive So thought maybe we can prove this too
- The primitive $n^ {th}$ roots of unity form basis over $\mathbb {Q . . .
Suppose the primitive nth n t h roots of unity, denoted {1,η(1) n, …,η(k−1) n} {1, η n (1),, η n (k 1)} do not form a basis for the cyclotomic field of nth n t h roots of unity over Q Q (this could either mean the primitive roots either don't span or are not linearly independent; intuition guides me to suspect that somehow we can infer
- What is the integral of 1 x? - Mathematics Stack Exchange
Answers to the question of the integral of 1 x 1 x are all based on an implicit assumption that the upper and lower limits of the integral are both positive real numbers If we allow more generality, we find an interesting paradox For instance, suppose the limits on the integral are from −A A to +A + A where A A is a real, positive number The posted answer in term of ln ln would give ln(A
- Primitive binary necklaces - Mathematics Stack Exchange
The problem solution of counting the number of (primitive) necklaces (Lyndon words) is very well known But what about results giving sufficient conditions for a given necklace be primitive? For ex
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