List questions from finite-fields

Published on 10 Apr 2026 - 1:56

157

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What does a solution of a Diophantine equation in $\mathbb{F}_{p}$ tell about general integer solution?

Published on 14 Apr 2026 - 2:37

291

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Basis of factors for large degree polynomials

Published on 10 Apr 2026 - 19:15

65

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Rank of a matrix in Ellenberg/Gijswijt proof

Published on 16 Apr 2026 - 3:58

409

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Dimension of the vector space of polynomials vanishing on a finite set

Published on 16 Apr 2026 - 15:29

68

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Is $e^{\pm 2\pi i/3}=1$ in the splitting field of $x^3-t\in \mathbb{F}_3(t)[x]$?

Published on 15 Apr 2026 - 4:36

708

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The cardinal of finite field

Published on 11 Apr 2026 - 10:07

1.1k

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Characteristic of Finite Fields

Published on 10 Apr 2026 - 22:13

89

Views

Is the extended Euclidean algorithm the most efficient way to invert modulo p?

Published on 14 Apr 2026 - 5:29

77

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The number of solution to the equation $x^p=a$ is either $0$ or $p-1$ in a field of charestrics $p$.

Published on 15 Apr 2026 - 22:04

46

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Which polynomials in $\mathbb{F}_p[x,y,z]$ evaluate to 0 at all points of $\mathbb{F}_p^3$?

Published on 17 Apr 2026 - 4:58

44

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I want to see (if any) a version of this theorem for the case of a multivariate polynomial

Published on 15 Apr 2026 - 8:09

39

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Factor polynomial over $\mathbb{Z}_2$ into 2 polynomials of equal degree

Published on 10 Apr 2026 - 21:43

81

Views

System of nonlinear equations mod 2

Published on 15 Apr 2026 - 8:37

509

Views

Enumerative interpretation of generalized $q$-hockey stick identity

Published on 25 Mar 2026 - 16:08

List Question

An operation preserving order on finite field

What does a solution of a Diophantine equation in $\mathbb{F}_{p}$ tell about general integer solution?

Basis of factors for large degree polynomials

Rank of a matrix in Ellenberg/Gijswijt proof

Dimension of the vector space of polynomials vanishing on a finite set

Is $e^{\pm 2\pi i/3}=1$ in the splitting field of $x^3-t\in \mathbb{F}_3(t)[x]$?

The cardinal of finite field

Characteristic of Finite Fields

Is the extended Euclidean algorithm the most efficient way to invert modulo p?

The number of solution to the equation $x^p=a$ is either $0$ or $p-1$ in a field of charestrics $p$.

Which polynomials in $\mathbb{F}_p[x,y,z]$ evaluate to 0 at all points of $\mathbb{F}_p^3$?

I want to see (if any) a version of this theorem for the case of a multivariate polynomial

Factor polynomial over $\mathbb{Z}_2$ into 2 polynomials of equal degree

System of nonlinear equations mod 2

Enumerative interpretation of generalized $q$-hockey stick identity

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