List questions from primitive-roots

Published on 06 Jul 2017 - 23:17

131

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$f(X)=X^{16}-X \in \mathbb F_2 [X]$ ,order of primitive roots, polynomial of minimal degree

Published on 10 Jul 2017 - 20:07

64

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Prove that $\gamma^{\frac{q-1}{2}}=-1$ in $\mathbb{F}_q$ when $q$ is an odd prime power and $\mathbb{F}_q^*=<\gamma >$.

Published on 08 Aug 2017 - 19:26

42

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Complexity of finding a root in ring P

Published on 11 Aug 2017 - 20:16

225

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simplify a numerical expression without calculator

Published on 12 Aug 2017 - 22:18

82

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Galois theory question

Published on 20 Sep 2017 - 18:29

292

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a (simple?) property of primitive roots

Published on 24 Sep 2017 - 13:22

90

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How to prove that all the eigenvalues of this matrix have modulus $\sqrt{n}$?

Published on 08 Oct 2017 - 3:21

2.3k

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confusion on how to find primitive roots (find primitive root mod 23, 46, 529, 12167)

Published on 11 Oct 2017 - 14:49

342

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Fast fourier transform

Published on 26 Mar 2026 - 21:25

55

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Given $g^x$ and $g^y$, identify $g^{xy}$ from $g^r$ in an ideal scenario

Published on 23 Feb 2026 - 12:06

266

Views

Does Artin's conjecture imply that the reciprocal sum of primes with a given primitive root would diverge?

Published on 17 Oct 2017 - 15:33

680

Views

How to find a primitive root modulo $5^{10}$?

Published on 19 Oct 2017 - 11:45

117

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Evaluate $\prod_{k=1}^{n-1} \cos \frac{k \pi}{n}$ where $\text{gcd}(n,k)=1$ and $n$ is odd

Published on 27 Mar 2026 - 15:19

1k

Views

Number of $k$th Roots modulo a prime?

Published on 30 Oct 2017 - 3:31

List Question

Checking understanding of Order, Primitive Roots

$f(X)=X^{16}-X \in \mathbb F_2 [X]$ ,order of primitive roots, polynomial of minimal degree

Prove that $\gamma^{\frac{q-1}{2}}=-1$ in $\mathbb{F}_q$ when $q$ is an odd prime power and $\mathbb{F}_q^*=<\gamma >$.

Complexity of finding a root in ring P

simplify a numerical expression without calculator

Galois theory question

a (simple?) property of primitive roots

How to prove that all the eigenvalues of this matrix have modulus $\sqrt{n}$?

confusion on how to find primitive roots (find primitive root mod 23, 46, 529, 12167)

Fast fourier transform

Given $g^x$ and $g^y$, identify $g^{xy}$ from $g^r$ in an ideal scenario

Does Artin's conjecture imply that the reciprocal sum of primes with a given primitive root would diverge?

How to find a primitive root modulo $5^{10}$?

Evaluate $\prod_{k=1}^{n-1} \cos \frac{k \pi}{n}$ where $\text{gcd}(n,k)=1$ and $n$ is odd

Number of $k$th Roots modulo a prime?

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