List questions from p-adic-number-theory

Published on 25 Mar 2026 - 9:48

405

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Compact subgroups of a p-adic field

Published on 25 Mar 2026 - 9:51

284

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Why $\mathbb{R}$ is not isomorphic to $\mathbb{Q}_p$ as fields?

Published on 25 Mar 2026 - 17:38

265

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Convergence of infinite product in $\mathbb{C}_p$

Published on 27 Mar 2026 - 4:21

365

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A question on Serre' open image theorem and p-adic Lie group

Published on 24 Mar 2026 - 23:44

52

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If $n \mid (a-1)^k$ then $n \mid(a^{n-1} + a^{n-2} + ...+ a + 1) $ and $n,k,a \in N_{\geq2} $

Published on 26 Mar 2026 - 14:35

452

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$p^i\mathbb {Z}_p$ is an open subgroup of $\mathbb {Z}_p$ of index $p^i$, where $\mathbb {Z}_p$ is the group of p-adic integers

Published on 25 Mar 2026 - 4:43

127

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Norm topology and usual topology in a p-adic field

Published on 25 Mar 2026 - 12:17

110

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if $\sum n! $ converges in $\mathbb{Z_p}$ ring then what about convergence of $\sum n$?

Published on 17 Jul 2019 - 18:30

341

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If $[\mathbb Z_p:H]=n$ then $n\mathbb Z_p< H$

Published on 21 Jul 2019 - 9:42

135

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Basis of $\mathbb{Z}^n$ approximating bases of $\mathbb{Z}_p^n$

Published on 26 Mar 2026 - 17:32

170

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On $p$-adic power series

Published on 24 Jul 2019 - 17:37

66

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How come $ax^2+ ty^2 = z^2$ has no solution in $\mathbb{Q}_p$?

Published on 25 Mar 2026 - 12:16

148

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How to show that $\sqrt[4]{13}$ is not in $\mathbb{Q}_{13}(\sqrt[4]{26})$

Published on 30 Jul 2019 - 22:34

113

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what is the structure of $F^{\times}/(F^{\times})^2$?

Published on 31 Jul 2019 - 9:47

List Question

$p$- adic $L$- Function of a Dirichlet character at positive integers.

Compact subgroups of a p-adic field

Why $\mathbb{R}$ is not isomorphic to $\mathbb{Q}_p$ as fields?

Convergence of infinite product in $\mathbb{C}_p$

A question on Serre' open image theorem and p-adic Lie group

If $n \mid (a-1)^k$ then $n \mid(a^{n-1} + a^{n-2} + ...+ a + 1) $ and $n,k,a \in N_{\geq2} $

$p^i\mathbb {Z}_p$ is an open subgroup of $\mathbb {Z}_p$ of index $p^i$, where $\mathbb {Z}_p$ is the group of p-adic integers

Norm topology and usual topology in a p-adic field

if $\sum n! $ converges in $\mathbb{Z_p}$ ring then what about convergence of $\sum n$?

If $[\mathbb Z_p:H]=n$ then $n\mathbb Z_p< H$

Basis of $\mathbb{Z}^n$ approximating bases of $\mathbb{Z}_p^n$

On $p$-adic power series

How come $ax^2+ ty^2 = z^2$ has no solution in $\mathbb{Q}_p$?

How to show that $\sqrt[4]{13}$ is not in $\mathbb{Q}_{13}(\sqrt[4]{26})$

what is the structure of $F^{\times}/(F^{\times})^2$?

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