Question

What members of $\Bbb{Z}_2^{\times}$ don't have a multiplicative inverse?

score 109 · Answer 1 · 2026-04-15 14:37:50

109

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What members of $\Bbb{Z}_2^{\times}$ don't have a multiplicative inverse?

Published on 15 Apr 2026 - 14:37

score 599 · Answer 2 · 2026-04-17 10:20:57

599

Views

Proving $2+2^2/2+2^3/3+2^4/4+\cdots=0$ elementarily

Published on 17 Apr 2026 - 10:20

score 52 · Answer 3 · 2026-04-17 00:45:44

52

Views

For what $n$ does $\left\lvert\frac{p^nx-1}{p+1}\right\rvert_p=1$, given $\lvert x\rvert_p=1$?

Published on 17 Apr 2026 - 0:45

score 328 · Answer 4 · 2026-04-14 18:14:21

328

Views

Convergence of series in p-adic field or non-archimedian field

Published on 14 Apr 2026 - 18:14

score 51 · Answer 5 · 2026-04-16 02:49:46

51

Views

For what $n$ is $\frac{p^n\cdot x-1}{p+1}$ integer, given $\lvert x\rvert_p=1$?

Published on 16 Apr 2026 - 2:49

score 60 · Answer 6 · 2026-04-13 14:03:56

60

Views

Does $\Bbb Z_2^\times$ contain non-repeating infinitely long binary strings?

Published on 13 Apr 2026 - 14:03

score 314 · Answer 7 · 2026-04-10 22:22:07

314

Views

Normalizer of $GL_2 (\mathbb{Z}_p)$ in $GL_2(\mathbb{Q}_p)$

Published on 10 Apr 2026 - 22:22

score 792 · Answer 8 · 2026-04-16 05:15:44

792

Views

On the $p$-adic logarithm

Published on 16 Apr 2026 - 5:15

score 247 · Answer 9 · 2026-04-16 02:14:09

247

Views

English Translation of Serre's "Formes modulaires et fonctions zeta p-adiques"

Published on 16 Apr 2026 - 2:14

score 186 · Answer 10 · 2026-04-13 17:48:35

186

Views

Why is the infinite dimensional unit ball perfectoid?

Published on 13 Apr 2026 - 17:48

score 716 · Answer 11 · 2026-04-29 12:49:49

716

Views

Clarification about the definition of ring of integers of a local field

Published on 29 Apr 2026 - 12:49

score 97 · Answer 12 · 2026-04-15 17:53:11

97

Views

Existence of a non-square integer $L$ such that $L$ is a quadratic residue modulo $p^n$ for all $n$

Published on 15 Apr 2026 - 17:53

score 161 · Answer 13 · 2026-04-12 13:49:58

161

Views

How do I double the resolution of $2^{\nu_2(x)}$?

Published on 12 Apr 2026 - 13:49

score 151 · Answer 14 · 2026-05-10 12:55:16

151

Views

What is $\int x^4 \, d\mu_p$ on the circle $\{ x^2 + y^2 = 1 \}$ respect to Haar measure on $\mathbb{Q}_p$?

Published on 10 May 2026 - 12:55

score 206 · Answer 15 · 2026-04-14 06:15:11

206

Views

How to see $x^3-17$ has a degree 2 irreducible factor in $Q_{3}[x]$?

Published on 14 Apr 2026 - 6:15

List Question

What members of $\Bbb{Z}_2^{\times}$ don't have a multiplicative inverse?

Proving $2+2^2/2+2^3/3+2^4/4+\cdots=0$ elementarily

For what $n$ does $\left\lvert\frac{p^nx-1}{p+1}\right\rvert_p=1$, given $\lvert x\rvert_p=1$?

Convergence of series in p-adic field or non-archimedian field

For what $n$ is $\frac{p^n\cdot x-1}{p+1}$ integer, given $\lvert x\rvert_p=1$?

Does $\Bbb Z_2^\times$ contain non-repeating infinitely long binary strings?

Normalizer of $GL_2 (\mathbb{Z}_p)$ in $GL_2(\mathbb{Q}_p)$

On the $p$-adic logarithm

English Translation of Serre's "Formes modulaires et fonctions zeta p-adiques"

Why is the infinite dimensional unit ball perfectoid?

Clarification about the definition of ring of integers of a local field

Existence of a non-square integer $L$ such that $L$ is a quadratic residue modulo $p^n$ for all $n$

How do I double the resolution of $2^{\nu_2(x)}$?

What is $\int x^4 \, d\mu_p$ on the circle $\{ x^2 + y^2 = 1 \}$ respect to Haar measure on $\mathbb{Q}_p$?

How to see $x^3-17$ has a degree 2 irreducible factor in $Q_{3}[x]$?

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