Question

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

score 106 · Answer 1 · 2018-06-11 07:05:28

106

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

Published on 11 Jun 2018 - 7:05

score 596 · Answer 2 · 2018-06-11 19:59:39

596

Views

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

Published on 11 Jun 2018 - 19:59

score 49 · Answer 3 · 2018-06-12 11:19:20

49

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 12 Jun 2018 - 11:19

score 325 · Answer 4 · 2018-06-13 07:42:14

325

Views

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

Published on 13 Jun 2018 - 7:42

score 49 · Answer 5 · 2018-06-13 08:09:12

49

Views

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

Published on 13 Jun 2018 - 8:09

score 57 · Answer 6 · 2018-06-14 09:43:28

57

Views

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

Published on 14 Jun 2018 - 9:43

score 311 · Answer 7 · 2018-06-19 05:23:24

311

Views

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

Published on 19 Jun 2018 - 5:23

score 789 · Answer 8 · 2018-06-20 02:16:17

789

Views

On the $p$-adic logarithm

Published on 20 Jun 2018 - 2:16

score 244 · Answer 9 · 2018-06-20 23:34:33

244

Views

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

Published on 20 Jun 2018 - 23:34

score 183 · Answer 10 · 2018-06-22 00:12:08

183

Views

Why is the infinite dimensional unit ball perfectoid?

Published on 22 Jun 2018 - 0:12

score 711 · Answer 11 · 2026-03-22 15:18:49

711

Views

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

Published on 22 Mar 2026 - 15:18

score 94 · Answer 12 · 2018-06-28 13:35:11

94

Views

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

Published on 28 Jun 2018 - 13:35

score 158 · Answer 13 · 2018-07-04 10:41:52

158

Views

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

Published on 04 Jul 2018 - 10:41

score 146 · Answer 14 · 2026-03-22 08:44:20

146

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 22 Mar 2026 - 8:44

score 203 · Answer 15 · 2018-07-07 23:59:53

203

Views

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

Published on 07 Jul 2018 - 23:59

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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