Question

Limit of a $p$-adic function and L'Hôpital's rule.

score 161 · Answer 1 · 2017-06-12 18:35:57

161

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Limit of a $p$-adic function and L'Hôpital's rule.

Published on 12 Jun 2017 - 18:35

score 1.1k · Answer 2 · 2026-04-01 10:24:41

1.1k

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Relating the base-p periodic expansion of a rational to its p-adic representation

Published on 01 Apr 2026 - 10:24

score 448 · Answer 3 · 2017-06-23 20:27:30

448

Views

When is $\operatorname{Tor}_1 ^\mathbb{Z} (M,N) \neq 0$?

Published on 23 Jun 2017 - 20:27

score 105 · Answer 4 · 2026-03-26 22:54:19

105

Views

How can I decide if $\mathbb{Q}_p$ contains the $\ell$-th roots of unity?

Published on 26 Mar 2026 - 22:54

score 70 · Answer 5 · 2017-06-24 07:01:49

70

Views

Cauchy sequence in $\mathbb{Q}_p$ converges in $\mathbb{Q}_p$

Published on 24 Jun 2017 - 7:01

score 136 · Answer 6 · 2026-03-26 18:50:30

136

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There exist no ring homomorphism $\sigma$ between $\mathbb{Q}_3$ and $\mathbb{Q}_5$ with $\sigma(1)=1$.

Published on 26 Mar 2026 - 18:50

score 595 · Answer 7 · 2026-04-02 01:31:57

595

Views

$p$-adic numbers $\mathbb{Q}_p$: Why is $(\mathbb{Q}_p,+,\cdot)$ a topological ring?

Published on 02 Apr 2026 - 1:31

score 495 · Answer 8 · 2017-07-04 13:07:09

495

Views

Ring of Witt vectors - Exercises in Neukirch's Algebraic Number Theory

Published on 04 Jul 2017 - 13:07

score 884 · Answer 9 · 2017-07-07 10:00:30

884

Views

How do I show convergence in the 2-adics?

Published on 07 Jul 2017 - 10:00

score 67 · Answer 10 · 2017-07-09 23:43:31

67

Views

If the eigenvalues of a $2\times2$ matrix $A$ have the same $p$-adic absolute value, must $\left|\operatorname{tr}(A)^2\right|\le |\det(A)|$?

Published on 09 Jul 2017 - 23:43

score 315 · Answer 11 · 2017-07-10 03:53:43

315

Views

p-adic series converging to two different values for two different p-adic norms

Published on 10 Jul 2017 - 3:53

score 315 · Answer 12 · 2017-07-10 09:15:18

315

Views

Cauchy sequence in $\mathbb{Q}_p$

Published on 10 Jul 2017 - 9:15

score 1.9k · Answer 13 · 2017-07-10 11:19:49

1.9k

Views

Why do we define the $\mathfrak{p}$-adic logarithm on a $\mathfrak{p}$-adic number field such that $\log(p) = 0$?

Published on 10 Jul 2017 - 11:19

score 802 · Answer 14 · 2017-07-10 12:26:47

802

Views

Completion of field equals completion of extension

Published on 10 Jul 2017 - 12:26

score 104 · Answer 15 · 2017-07-11 20:26:54

104

Views

In a $p$-adic vector space, closest point on (and distance from) a plane to a given point?

Published on 11 Jul 2017 - 20:26

List Question

Limit of a $p$-adic function and L'Hôpital's rule.

Relating the base-p periodic expansion of a rational to its p-adic representation

When is $\operatorname{Tor}_1 ^\mathbb{Z} (M,N) \neq 0$?

How can I decide if $\mathbb{Q}_p$ contains the $\ell$-th roots of unity?

Cauchy sequence in $\mathbb{Q}_p$ converges in $\mathbb{Q}_p$

There exist no ring homomorphism $\sigma$ between $\mathbb{Q}_3$ and $\mathbb{Q}_5$ with $\sigma(1)=1$.

$p$-adic numbers $\mathbb{Q}_p$: Why is $(\mathbb{Q}_p,+,\cdot)$ a topological ring?

Ring of Witt vectors - Exercises in Neukirch's Algebraic Number Theory

How do I show convergence in the 2-adics?

If the eigenvalues of a $2\times2$ matrix $A$ have the same $p$-adic absolute value, must $\left|\operatorname{tr}(A)^2\right|\le |\det(A)|$?

p-adic series converging to two different values for two different p-adic norms

Cauchy sequence in $\mathbb{Q}_p$

Why do we define the $\mathfrak{p}$-adic logarithm on a $\mathfrak{p}$-adic number field such that $\log(p) = 0$?

Completion of field equals completion of extension

In a $p$-adic vector space, closest point on (and distance from) a plane to a given point?

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