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Irreducibility over $\mathbb{Q}(\sqrt[19]{2})$

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#abstract-algebra #field-theory #irreducible-polynomials
66
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exists $f(x)$ irreducible such that $g(f(x))$ is reducible

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#elementary-number-theory #irreducible-polynomials
45
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An efficient algorithm for factorising cyclotomic polynomial over a finite field

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#abstract-algebra #ring-theory #algorithms #irreducible-polynomials #cyclotomic-polynomials
71
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Find the value of $(1+\alpha)(1+\beta)(1+r)(1+s)$

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#polynomials #irreducible-polynomials
23
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reduciblility of linear combination of two polynomials in $\Bbb R[x,y]$

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#irreducible-polynomials
152
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$x^3+ax+b$ is reducible over infinitely many $\Bbb{F}_p$?

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#abstract-algebra #number-theory #algebraic-number-theory #finite-fields #irreducible-polynomials
92
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How to prove a polynomial irreducibility result solved by R.Brauer.

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#polynomials #irreducible-polynomials
125
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Prove that $x$ is irreducible in $\Bbb C[x,y]/(x^3+y^3-1)$

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#abstract-algebra #polynomials #irreducible-polynomials
46
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Prove that the order of 2 modulo 2n+1 is odd

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#elementary-number-theory #polynomials #contest-math #irreducible-polynomials
48
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A problem about polynomial

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#prime-numbers #irreducible-polynomials
32
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A faster way to check irreducibility of quartics in finite fields

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#polynomials #finite-fields #irreducible-polynomials
131
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Factor $x^5+x^4+x^3+x^2+x+1$ over $\Bbb F_5$

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#abstract-algebra #galois-theory #finite-fields #irreducible-polynomials #minimal-polynomials
49
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Find a prime p such that the 35th cyclotomic polynomial has an irreducible 12th-degree factor in $F_p$

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#abstract-algebra #irreducible-polynomials #cyclotomic-polynomials
60
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Most efficient way to show $X^3-8X+16$ is irreducible over $\mathbb{Q}(i)$.

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#polynomials #irreducible-polynomials
149
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Binary multiplication in Galois Field GF(2^8)

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#finite-fields #irreducible-polynomials #cryptography

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