List questions from finite-fields

Published on 04 Dec 2018 - 1:16

63

Views

Left inverse of a matrix $3 \times 2$ in $\mathbb{F}_7[x]$

Published on 26 Mar 2026 - 7:59

55

Views

Unramified primes inside $\mathbb{F}_q(t)$

Published on 24 Mar 2026 - 20:32

1.1k

Views

$\mathbb{F}_{p^d}\subseteq\mathbb{F}_{p^n}$ if and only if $d$ divides $n$

Published on 05 Dec 2018 - 20:26

158

Views

factors of $X^{p^n}-X$

Published on 26 Mar 2026 - 6:07

449

Views

An abelian variety not isogenous to a Jacobian

Published on 24 Mar 2026 - 23:45

1.6k

Views

Write the algebraic closure of $F_p$ as union of finite fields

Published on 07 Dec 2018 - 20:26

691

Views

The number of non-singular $n\times n$ matrices over $\mathbb{F}_2$ with exactly $k$ non-zero entries

Published on 08 Dec 2018 - 8:24

56

Views

Relation between finite fields $F_{p^2}$ and $F_p(\omega)$.

Published on 09 Dec 2018 - 8:56

44

Views

When is an element of an extension field in the base field?

Published on 09 Dec 2018 - 12:24

303

Views

When does Fermat's Last Theorem hold over finite fields?

Published on 10 Dec 2018 - 9:14

96

Views

Find the invertible solutions of $x^{-1}+x=0$ over a ring.

Published on 10 Dec 2018 - 11:46

796

Views

Let k be a finite field. Is it true that the number of irreducible polynomials in k[x] is also finite?

Published on 26 Mar 2026 - 7:35

104

Views

$\operatorname{ord}_p(\sum_{i=0}^{p-1}T(\overline i)^{p-1-k}\psi(\overline i))=?$

Published on 26 Mar 2026 - 6:34

476

Views

Finding elliptic curves achieving the upper and lower bounds of Hasse's Interval

Published on 25 Mar 2026 - 5:09

List Question

Factorising $X^{16}- X$ over $\mathbb F_4$.

Left inverse of a matrix $3 \times 2$ in $\mathbb{F}_7[x]$

Unramified primes inside $\mathbb{F}_q(t)$

$\mathbb{F}_{p^d}\subseteq\mathbb{F}_{p^n}$ if and only if $d$ divides $n$

factors of $X^{p^n}-X$

An abelian variety not isogenous to a Jacobian

Write the algebraic closure of $F_p$ as union of finite fields

The number of non-singular $n\times n$ matrices over $\mathbb{F}_2$ with exactly $k$ non-zero entries

Relation between finite fields $F_{p^2}$ and $F_p(\omega)$.

When is an element of an extension field in the base field?

When does Fermat's Last Theorem hold over finite fields?

Find the invertible solutions of $x^{-1}+x=0$ over a ring.

Let k be a finite field. Is it true that the number of irreducible polynomials in k[x] is also finite?

$\operatorname{ord}_p(\sum_{i=0}^{p-1}T(\overline i)^{p-1-k}\psi(\overline i))=?$

Finding elliptic curves achieving the upper and lower bounds of Hasse's Interval

Trending Questions

Popular # Hahtags

Popular Questions