List questions from p-adic-number-theory

Published on 08 Feb 2018 - 4:56

273

Views

Classification of abelian $p$-adic Lie groups?

Published on 22 Mar 2026 - 17:20

41

Views

Define the 2-adic valuations of the integers $\Bbb{N}$ as a group

Published on 18 Feb 2018 - 12:09

389

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$\mathbb{Z}_p$ not isomorphic to $\mathbb{F}_p|[t]|$

Published on 18 Feb 2018 - 18:49

608

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p-adic binomial series

Published on 22 Mar 2026 - 3:21

78

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Trying to understand basic properties of the $p$-adic logarithms

Published on 24 Feb 2018 - 18:53

1.8k

Views

Algebraic closure of the $p$-adic integers

Published on 22 Mar 2026 - 16:09

620

Views

P adic numbers number theory

Published on 22 Mar 2026 - 1:21

792

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P adic numbers application

Published on 21 Mar 2026 - 23:48

420

Views

Extension of places to an algebraic closure

Published on 22 Mar 2026 - 18:05

46

Views

If $2\leq p\in\mathbb{N}$ and $f\in\mathbb{Q}_p[x]$, then ($f$ has infinitely many roots $\Leftrightarrow$ $f=0$) $\Leftrightarrow$ $p$ prime power.

Published on 08 Mar 2018 - 15:41

368

Views

Newton's Binomial Series and p-adic roots of unity

Published on 09 Mar 2018 - 18:30

78

Views

$\lim_{p\rightarrow\infty} (\mathbb{Q}_p,\|\|_{p}) = (\mathbb{R},\|\|)$?

Published on 10 Mar 2018 - 6:43

146

Views

The image of a valuation is dense in $\mathbb{R}$

Published on 17 Mar 2026 - 5:55

269

Views

Does every sequence $4^nx_0+\frac{4^n-1}{3}$ contain a prime?

Published on 23 Mar 2018 - 23:01

List Question

$C_c^{\infty}(F^{\ast})$ is spanned by functions $\chi_{\ast}(ax) $

Classification of abelian $p$-adic Lie groups?

Define the 2-adic valuations of the integers $\Bbb{N}$ as a group

$\mathbb{Z}_p$ not isomorphic to $\mathbb{F}_p|[t]|$

p-adic binomial series

Trying to understand basic properties of the $p$-adic logarithms

Algebraic closure of the $p$-adic integers

P adic numbers number theory

P adic numbers application

Extension of places to an algebraic closure

If $2\leq p\in\mathbb{N}$ and $f\in\mathbb{Q}_p[x]$, then ($f$ has infinitely many roots $\Leftrightarrow$ $f=0$) $\Leftrightarrow$ $p$ prime power.

Newton's Binomial Series and p-adic roots of unity

$\lim_{p\rightarrow\infty} (\mathbb{Q}_p,\|\|_{p}) = (\mathbb{R},\|\|)$?

The image of a valuation is dense in $\mathbb{R}$

Does every sequence $4^nx_0+\frac{4^n-1}{3}$ contain a prime?

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