Newbetuts

Calculating the ramification and inertia degree of $\mathbb{Q}_2(\sqrt{3}, \sqrt{7})$ and $\mathbb{Q}_2(\sqrt{3}, \sqrt{2})$ over $\mathbb{Q}_2$

Integer polynomials with roots in every $\mathbb{Z}_p$ but no rational roots.

Is $(\mathbb{Z},d)$ compact?

What is the Galois group of $\mathbb{Q}_p[\zeta] / \mathbb{Q}_p$, where $\zeta$ is a $p^r$th root of unity?

Ring structure of Hecke algebra

Open problems involving p-adic numbers

Is 0.9999... equal to -1? [closed]

$p$-adic differentiation

Ring of $p$-adic integers $\mathbb Z_p$

How to explicitly describe the generator of the Galois group of the extension defined by $x^4-3x^2+18$?

Why $p$-adically interpolate?

Root of power $p$ from $1$ in the field of $p$-adic numbers

Question about $p$-adic numbers and $p$-adic integers

Non trivial valuation over a finite extension $F/\mathbb{Q}_p$ is equivalent to the one induced by $v_p$

Computing the reduction of a quotient over the $5$-adic numbers

Binomial coefficients: how to prove an inequality on the $p$-adic valuation?

New posts in p-adic-number-theory

Totally ramified extensions of $\mathbb{Q}_p$

Ring of the integer $p$-adic numbers $\mathbb{Z}_p$

Are rings of power series over a local field complete?

There is a primitive $m^{th}$ root of unity in $\mathbb{Q}_p$ $\Leftrightarrow m \mid (p-1)$

Calculating the ramification and inertia degree of $\mathbb{Q}_2(\sqrt{3}, \sqrt{7})$ and $\mathbb{Q}_2(\sqrt{3}, \sqrt{2})$ over $\mathbb{Q}_2$

Integer polynomials with roots in every $\mathbb{Z}_p$ but no rational roots.

Is $(\mathbb{Z},d)$ compact?

What is the Galois group of $\mathbb{Q}_p[\zeta] / \mathbb{Q}_p$, where $\zeta$ is a $p^r$th root of unity?

Ring structure of Hecke algebra

Open problems involving p-adic numbers

Is 0.9999... equal to -1? [closed]

$p$-adic differentiation

Ring of $p$-adic integers $\mathbb Z_p$

How to explicitly describe the generator of the Galois group of the extension defined by $x^4-3x^2+18$?

Why $p$-adically interpolate?

Root of power $p$ from $1$ in the field of $p$-adic numbers

Question about $p$-adic numbers and $p$-adic integers

Non trivial valuation over a finite extension $F/\mathbb{Q}_p$ is equivalent to the one induced by $v_p$

Computing the reduction of a quotient over the $5$-adic numbers

Binomial coefficients: how to prove an inequality on the $p$-adic valuation?