List questions from p-adic-number-theory

Published on 10 Jun 2013 - 13:55

92

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computation of an $H^2$

Published on 30 Mar 2026 - 11:42

374

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Is the endomorphism of $\mathbb{Z}_{p}$ induced by multiplication by $p^{n}$ surjective?

Published on 14 Jun 2013 - 15:53

71

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Convergence in $\mathbb{Z}_p$

Published on 17 Jun 2013 - 9:10

325

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Lower Bound on Number of Wildly Ramified Extensions of $\mathbb{Q}_p$

Published on 28 Mar 2026 - 4:53

103

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On changing from '<' to '$\le$' when taking limits (with norm $|\bullet|_p$)

Published on 26 Jun 2013 - 5:11

252

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presentation of the inertia group of $p$-adic fields

Published on 27 Mar 2026 - 17:24

309

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$p$ prime, $P = \left\{ \frac{m}{p^e} \middle| m, e\in \mathbb{Z} \right\}$. Prove that $\mbox{Ext}(P; \mathbb{Z}) \cong \mathbb{Z}^{(p)}/\mathbb{Z}$

Published on 03 Jul 2013 - 15:16

426

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Proving if $|a|_p=1$ then $a$ is invertible in $\mathbb{Z}_p$

Published on 04 Jul 2013 - 0:17

377

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p-adic Eisenstein series

Published on 05 Jul 2013 - 13:43

913

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Raising a rational integer to a $p$-adic power

Published on 05 Jul 2013 - 19:13

1.1k

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Relations between irreducibility on $\mathbb{Q}[x]$, and on $\mathbb{Q}_p[x]$ ($p$-adic numbers)

Published on 18 Jul 2013 - 10:04

5k

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An automorphism of the field of $p$-adic numbers

Published on 22 Jul 2013 - 12:33

334

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A characterization of the module function on a locally compact division ring

Published on 01 Apr 2026 - 5:15

1.1k

Views

On a $p$-adic unit and the existence of its $n$-th root

Published on 23 Jul 2013 - 2:38

List Question

Discriminant of Finite-Dimensional Extension of $\mathbb{Q}_p$

computation of an $H^2$

Is the endomorphism of $\mathbb{Z}_{p}$ induced by multiplication by $p^{n}$ surjective?

Convergence in $\mathbb{Z}_p$

Lower Bound on Number of Wildly Ramified Extensions of $\mathbb{Q}_p$

On changing from '<' to '$\le$' when taking limits (with norm $|\bullet|_p$)

presentation of the inertia group of $p$-adic fields

$p$ prime, $P = \left\{ \frac{m}{p^e} \middle| m, e\in \mathbb{Z} \right\}$. Prove that $\mbox{Ext}(P; \mathbb{Z}) \cong \mathbb{Z}^{(p)}/\mathbb{Z}$

Proving if $|a|_p=1$ then $a$ is invertible in $\mathbb{Z}_p$

p-adic Eisenstein series

Raising a rational integer to a $p$-adic power

Relations between irreducibility on $\mathbb{Q}[x]$, and on $\mathbb{Q}_p[x]$ ($p$-adic numbers)

An automorphism of the field of $p$-adic numbers

A characterization of the module function on a locally compact division ring

On a $p$-adic unit and the existence of its $n$-th root

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