List questions from irreducible-polynomials

Published on 06 Jun 2019 - 22:02

67

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Is a non-zero linear map an automorphism if its characteristic polynomial is irreducible?

Published on 07 Jun 2019 - 15:30

290

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Irreducibility of polynomials over field of rational functions

Published on 08 Jun 2019 - 5:02

117

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Clarification of proof in Artin's "Algebra"

Published on 08 Jun 2019 - 16:49

345

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How to factor a polynomial over finite fields?

Published on 24 Mar 2026 - 23:43

70

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How to classify the factorization of polynomials over finite fields?

Published on 24 Mar 2026 - 23:44

52

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Characteritzation of $p$ for Rabin's test

Published on 10 Jun 2019 - 11:15

41

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Proving that a polynomial is irreducible over $\mathbb{Q}$

Published on 10 Jun 2019 - 13:08

195

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Is my proof of irreducibility of ${(x - a_1)}^2{(x - a_2)}^2 \; \cdots \; {(x - a_n)}^2 + 1$ over $\mathbb{Z}$ correct?

Published on 10 Jun 2019 - 18:22

272

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Show that the polynomial $Y^2+X^2(X-1)^2 \in \Bbb R[X,Y]$ is irreducible.

Published on 11 Jun 2019 - 17:14

49

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Exponentiation of $(x-h)$ divides $f$ if $h$ is a root

Published on 12 Jun 2019 - 21:18

42

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regarding Integer solutions

Published on 15 Jun 2019 - 12:25

78

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Is $y^3 + ny + 1$ is reducible over $\mathbb{Z}$ for infinitely many $n $? Yes/NO

Published on 16 Jun 2019 - 20:39

975

Views

Reducibility of $x^3+nx+1$ over $ \Bbb Z$

Published on 17 Jun 2019 - 9:41

133

Views

Proof of irreducibilty of $f(x)=\sum_{i=0}^{p-1}(p-i)x^i$

Published on 19 Jun 2019 - 1:00

List Question

Getting an irreducible polynomial from co-prime polynomials

Is a non-zero linear map an automorphism if its characteristic polynomial is irreducible?

Irreducibility of polynomials over field of rational functions

Clarification of proof in Artin's "Algebra"

How to factor a polynomial over finite fields?

How to classify the factorization of polynomials over finite fields?

Characteritzation of $p$ for Rabin's test

Proving that a polynomial is irreducible over $\mathbb{Q}$

Is my proof of irreducibility of ${(x - a_1)}^2{(x - a_2)}^2 \; \cdots \; {(x - a_n)}^2 + 1$ over $\mathbb{Z}$ correct?

Show that the polynomial $Y^2+X^2(X-1)^2 \in \Bbb R[X,Y]$ is irreducible.

Exponentiation of $(x-h)$ divides $f$ if $h$ is a root

regarding Integer solutions

Is $y^3 + ny + 1$ is reducible over $\mathbb{Z}$ for infinitely many $n $? Yes/NO

Reducibility of $x^3+nx+1$ over $ \Bbb Z$

Proof of irreducibilty of $f(x)=\sum_{i=0}^{p-1}(p-i)x^i$

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