List questions from hensels-lemma | MathQA

Prove that $f(x)=x^{3} + 2x^{2}+ 3x + 5$ has a root in the in $\mathbb{Z}_{13}$ (The 13-adics)

Published on 19 May 2022 - 18:00

Number of solutions $x \in \{1,2,\ldots, 1000 \}$ of $ x^2(x+1)^2 \equiv 0 \pmod{1000}$

Published on 20 Jun 2022 - 19:12

Show irreducibility for Polynomials of degree 4 over p-adic Fields

Published on 29 Jul 2022 - 15:55

Composition equations of power or formal series

Published on 16 Aug 2022 - 18:42

Henselisation of Normal local rings (in Milne's Etale Cohomology)

Published on 21 Aug 2022 - 0:14

$\underset{\bar{a},\bar{b}\in S^n}{Pr}[f(x,\bar{a}t+\bar{b})\text{ is reducible and }f(x,\bar{b})\text{ is square-free}]\leq\frac{7d^6}{|S|}$

Published on 20 Dec 2022 - 20:33