Question

Is $\left(2\mathbb{N}^+-1)\cup \{0\}\cup\{-\frac{1}{3}\}\right)\times\langle2\rangle$ a complete space under the 2-adic metric

score 152 · Answer 1 · 2026-03-29 12:05:21

152

Views

Is $\left(2\mathbb{N}^+-1)\cup \{0\}\cup\{-\frac{1}{3}\}\right)\times\langle2\rangle$ a complete space under the 2-adic metric

Published on 29 Mar 2026 - 12:05

score 117 · Answer 2 · 2026-03-25 21:00:08

117

Views

Washington's Formula for $p$-adic $L$ function

Published on 25 Mar 2026 - 21:00

score 700 · Answer 3 · 2017-12-12 10:32:10

700

Views

Create an explicit extension of the 2-adic metric to $\mathbb{R}$ in which at least $(1,\infty)$ is connected.

Published on 12 Dec 2017 - 10:32

score 569 · Answer 4 · 2017-12-14 05:18:17

569

Views

completion of quadratic field to p-adic field.

Published on 14 Dec 2017 - 5:18

score 71 · Answer 5 · 2017-12-15 11:38:43

71

Views

Is $\rm{Hom}(\mathbb Z_q,\mathbb C_p)=0$?

Published on 15 Dec 2017 - 11:38

score 419 · Answer 6 · 2026-03-29 13:21:42

419

Views

How do I show a function on 2-adic units is continuous?

Published on 29 Mar 2026 - 13:21

score 111 · Answer 7 · 2026-03-25 12:15:18

111

Views

The value of a polynomial in $p$-adic completion

Published on 25 Mar 2026 - 12:15

score 58 · Answer 8 · 2026-04-02 07:58:42

58

Views

How does this matrix act on a tree?

Published on 02 Apr 2026 - 7:58

score 95 · Answer 9 · 2018-01-07 18:06:53

95

Views

Is there a continuous bijection from a segment of $\mathbb{R}$ to the following subset of $\mathbb{Q}_2$?

Published on 07 Jan 2018 - 18:06

score 152 · Answer 10 · 2018-01-08 15:24:17

152

Views

Is there a natural way for elements of $\mathbb{Z}_2$ to be $\geq1$?

Published on 08 Jan 2018 - 15:24

score 195 · Answer 11 · 2018-01-08 20:35:06

195

Views

For which $\mathbb{Z}_2$ is the logarithm defined?

Published on 08 Jan 2018 - 20:35

score 200 · Answer 12 · 2018-01-10 21:58:24

200

Views

Endomorphisms of $p$-adic multiplication?

Published on 10 Jan 2018 - 21:58

score 2k · Answer 13 · 2010-08-19 11:31:55

2k

Views

Binomial coefficients: how to prove an inequality on the $p$-adic valuation?

Published on 19 Aug 2010 - 11:31

score 444 · Answer 14 · 2010-12-06 01:43:10

444

Views

Computing inverses $\!\bmod n^k\,$ by Hensel lifting or Newton's method

Published on 06 Dec 2010 - 1:43

score 884 · Answer 15 · 2010-12-13 06:49:08

884

Views

Computing Newton polygons

Published on 13 Dec 2010 - 6:49

List Question

Is $\left(2\mathbb{N}^+-1)\cup \{0\}\cup\{-\frac{1}{3}\}\right)\times\langle2\rangle$ a complete space under the 2-adic metric

Washington's Formula for $p$-adic $L$ function

Create an explicit extension of the 2-adic metric to $\mathbb{R}$ in which at least $(1,\infty)$ is connected.

completion of quadratic field to p-adic field.

Is $\rm{Hom}(\mathbb Z_q,\mathbb C_p)=0$?

How do I show a function on 2-adic units is continuous?

The value of a polynomial in $p$-adic completion

How does this matrix act on a tree?

Is there a continuous bijection from a segment of $\mathbb{R}$ to the following subset of $\mathbb{Q}_2$?

Is there a natural way for elements of $\mathbb{Z}_2$ to be $\geq1$?

For which $\mathbb{Z}_2$ is the logarithm defined?

Endomorphisms of $p$-adic multiplication?

Binomial coefficients: how to prove an inequality on the $p$-adic valuation?

Computing inverses $\!\bmod n^k\,$ by Hensel lifting or Newton's method

Computing Newton polygons

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