List questions from finite-fields

Published on 07 Apr 2026 - 9:28

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Irreducible polynomial of every degree over finite field

Published on 10 Apr 2026 - 18:15

139

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Factorization of polynomials over $\mathbb{Z}_3$

Published on 12 Apr 2026 - 16:52

381

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Field extensions and monomorphisms

Published on 08 Apr 2026 - 21:04

81

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Hasse-Weil bound for even degree polynomial

Published on 11 Apr 2026 - 23:34

119

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prove that $x^{2\cdot 3^n}+x^{3^n}+1$ is not primitive (mod 2)

Published on 18 Jun 2016 - 15:29

1.8k

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What happens if I take a quotient over a reducible polynomial?

Published on 11 Apr 2026 - 19:10

436

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Why $\mathbb{Z}_p$ can't have proper subfields?

Published on 19 Jun 2016 - 10:28

27

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Find the condition of $h$ satisfy $x^3+1$ divides $x^{2h+1}+1$ over $\mathbb{Z}_2$.

Published on 19 Jun 2016 - 12:03

274

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Primes is in P, proof of hendrik Lenstra Jr. lemma

Published on 11 Apr 2026 - 20:14

244

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Characterising maximal ideals in $\mathbb F_p[x]$, $\mathbb Z[x]$

Published on 04 Apr 2026 - 12:08

152

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irreducibility of a bivariate polyonimal over a finite field

Published on 19 Jun 2016 - 18:28

47

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Irreducible polynomial on $\mathbb{Z}_2$-field

Published on 07 Apr 2026 - 9:23

580

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Number of even irreducible monic polynomials of a given degree over a finite field

Published on 07 Apr 2026 - 9:30

279

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Finding square root of polynomial in extension field (Number field sieve)

Published on 21 Jun 2016 - 7:15

List Question

Reducibility of $x^q -x -1$ in $\mathbb{F}_{q}$

Irreducible polynomial of every degree over finite field

Factorization of polynomials over $\mathbb{Z}_3$

Field extensions and monomorphisms

Hasse-Weil bound for even degree polynomial

prove that $x^{2\cdot 3^n}+x^{3^n}+1$ is not primitive (mod 2)

What happens if I take a quotient over a reducible polynomial?

Why $\mathbb{Z}_p$ can't have proper subfields?

Find the condition of $h$ satisfy $x^3+1$ divides $x^{2h+1}+1$ over $\mathbb{Z}_2$.

Primes is in P, proof of hendrik Lenstra Jr. lemma

Characterising maximal ideals in $\mathbb F_p[x]$, $\mathbb Z[x]$

irreducibility of a bivariate polyonimal over a finite field

Irreducible polynomial on $\mathbb{Z}_2$-field

Number of even irreducible monic polynomials of a given degree over a finite field

Finding square root of polynomial in extension field (Number field sieve)

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