Question

Use of $p$-adic numbers in generating functions

score 225 · Answer 1 · 2022-05-26 16:56:03

225

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Use of $p$-adic numbers in generating functions

Published on 26 May 2022 - 16:56

score 291 · Answer 2 · 2022-05-27 18:53:52

291

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Two Questions About the Field of p-adic Numbers

Published on 27 May 2022 - 18:53

score 235 · Answer 3 · 2026-03-29 20:28:36

235

Views

Maximal compact subgroups of $\mathrm{GL}(2,\mathbb Q_p)$

Published on 29 Mar 2026 - 20:28

score 50 · Answer 4 · 2022-06-01 03:14:09

50

Views

Suppose $\Bbb{Z}_p$ is complete as metric space, then, how can I prove $ \Bbb{Q}_p$(defined as fraction field of $\Bbb{Z}_p$) is also complete?

Published on 01 Jun 2022 - 3:14

score 44 · Answer 5 · 2022-06-01 06:48:22

44

Views

Supercuspidal representation distribution lying in V tensor V dual

Published on 01 Jun 2022 - 6:48

score 301 · Answer 6 · 2026-03-26 21:35:19

301

Views

Do profinite completions commute with direct products?

Published on 26 Mar 2026 - 21:35

score 456 · Answer 7 · 2026-03-27 15:07:39

456

Views

Solving equations over rings and $p$-adic $n$th roots in SAGE

Published on 27 Mar 2026 - 15:07

score 45 · Answer 8 · 2022-06-04 05:25:04

45

Views

Choosing the Base for the $\pi$-adic Absolute Values on $\mathbb Q(i)$

Published on 04 Jun 2022 - 5:25

score 79 · Answer 9 · 2026-03-28 07:07:23

79

Views

p-adic formal series, evaluations and invertible elements

Published on 28 Mar 2026 - 7:07

score 90 · Answer 10 · 2026-03-25 13:54:50

90

Views

Is $ \widehat L(α)$ is $ \widehat {L(α)}$ ? (^ means completion)

Published on 25 Mar 2026 - 13:54

score 170 · Answer 11 · 2022-06-08 22:48:58

170

Views

I'm struggling to understand this isomorphism: $\mathbb{Z}_p^{\times}\simeq(\mathbb{Z}/p)^{\times}\times\mathbb{Z}_p$

Published on 08 Jun 2022 - 22:48

score 140 · Answer 12 · 2026-03-29 15:54:47

140

Views

To prove $ \Bbb{Z}_p$ is isomorphic to $\lim_{←}\Bbb{Z}_p/p^n \Bbb{Z}_p$ as a ring

Published on 29 Mar 2026 - 15:54

score 62 · Answer 13 · 2022-06-14 14:20:41

62

Views

$\Bbb {Z}_p \cong lim_{←n} \Bbb{Z}_p/p^n \Bbb{Z}_p$(set theoretic bijection) implies $ \Bbb{Z}_p$ is complete as metric space?

Published on 14 Jun 2022 - 14:20

score 97 · Answer 14 · 2022-06-18 19:46:40

What makes sense to call a quotient of the 2-adic numbers in which every element of a given class shares the same final convergent subsequence?

score 43 · Answer 15 · 2022-06-21 04:43:41

43

Views

Does $\text{Gal}(\bar K/K)$ act naturally on roots of $p$-adic power series $f(x)$ in $m_{\mathbb{C}_p}$?

Published on 21 Jun 2022 - 4:43

List Question

Use of $p$-adic numbers in generating functions

Two Questions About the Field of p-adic Numbers

Maximal compact subgroups of $\mathrm{GL}(2,\mathbb Q_p)$

Suppose $\Bbb{Z}_p$ is complete as metric space, then, how can I prove $ \Bbb{Q}_p$(defined as fraction field of $\Bbb{Z}_p$) is also complete?

Supercuspidal representation distribution lying in V tensor V dual

Do profinite completions commute with direct products?

Solving equations over rings and $p$-adic $n$th roots in SAGE

Choosing the Base for the $\pi$-adic Absolute Values on $\mathbb Q(i)$

p-adic formal series, evaluations and invertible elements

Is $ \widehat L(α)$ is $ \widehat {L(α)}$ ? (^ means completion)

I'm struggling to understand this isomorphism: $\mathbb{Z}_p^{\times}\simeq(\mathbb{Z}/p)^{\times}\times\mathbb{Z}_p$

To prove $ \Bbb{Z}_p$ is isomorphic to $\lim_{←}\Bbb{Z}_p/p^n \Bbb{Z}_p$ as a ring

$\Bbb {Z}_p \cong lim_{←n} \Bbb{Z}_p/p^n \Bbb{Z}_p$(set theoretic bijection) implies $ \Bbb{Z}_p$ is complete as metric space?

What makes sense to call a quotient of the 2-adic numbers in which every element of a given class shares the same final convergent subsequence?

Does $\text{Gal}(\bar K/K)$ act naturally on roots of $p$-adic power series $f(x)$ in $m_{\mathbb{C}_p}$?

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