Question

What's the Teichmuller representative of $2$ in $\Bbb Z_5$ - is it eventually periodic and to what does it converge?

score 264 · Answer 1 · 2021-05-03 18:45:51

What's the Teichmuller representative of $2$ in $\Bbb Z_5$ - is it eventually periodic and to what does it converge?

score 298 · Answer 2 · 2021-05-05 18:48:54

298

Views

Show that $(x+1)^p \equiv x^p +1 \pmod{p^2}$ given conditions on $x$ and $p$.

Published on 05 May 2021 - 18:48

score 80 · Answer 3 · 2021-05-06 02:39:46

80

Views

Understanding why some Galois extension over $\mathbb{Q}_2$ has Galois group $\operatorname{GL}_2(\mathbb{F}_3)$

Published on 06 May 2021 - 2:39

score 542 · Answer 4 · 2021-05-08 10:51:28

542

Views

$\Bbb Q$ is not complete w.r.t. $p$-adic norm

Published on 08 May 2021 - 10:51

score 108 · Answer 5 · 2021-05-12 14:42:41

108

Views

Associated graded ring of p-adic integers $\mathbb Z_p$

Published on 12 May 2021 - 14:42

score 66 · Answer 6 · 2021-05-14 04:46:45

66

Views

Is it true that for every $p$ and $q$ prime there exist infinitely many $k$ such that $p^k - 1$ is divisible by $q$?

Published on 14 May 2021 - 4:46

score 235 · Answer 7 · 2021-05-14 15:23:58

235

Views

Is $\text{Frac}(O_K)=K$?

Published on 14 May 2021 - 15:23

score 135 · Answer 8 · 2021-05-15 18:05:38

135

Views

How to construct a $p$-adic power series $g(x)$ over $O$ or over $\text{Frac}(O)$ from a given series $f(x) $?

Published on 15 May 2021 - 18:05

score 76 · Answer 9 · 2021-05-20 07:45:21

76

Views

How to estimate the highest power of 2 in the partial sum of 2-adic $\log(-1)$ ( $\sum_{i=1}^n\frac{2^i}{i}$)?

Published on 20 May 2021 - 7:45

score 561 · Answer 10 · 2021-05-29 12:50:50

561

Views

square root in 2-adics

Published on 29 May 2021 - 12:50

score 70 · Answer 11 · 2026-02-23 06:18:49

70

Views

Uniquely orderable subfields of $\mathbb{Q}_p$?

Published on 23 Feb 2026 - 6:18

score 69 · Answer 12 · 2021-05-31 11:04:12

69

Views

Unramified extension of $\mathbb{Q}_p$

Published on 31 May 2021 - 11:04

score 350 · Answer 13 · 2026-04-02 09:42:46

350

Views

P-Adic Expansion of Rational Number (Reverse Direction)

Published on 02 Apr 2026 - 9:42

score 142 · Answer 14 · 2026-03-26 13:00:55

142

Views

$\dim(H^1(G_K,\mathbb{Q}_p(1)))=1+[K:\mathbb{Q}_p]$ when $\ell=p$ and $1$ otherwise?

Published on 26 Mar 2026 - 13:00

score 83 · Answer 15 · 2021-06-07 10:24:25

83

Views

Series of Witt vectors converges if every series of the components converge

Published on 07 Jun 2021 - 10:24

List Question

What's the Teichmuller representative of $2$ in $\Bbb Z_5$ - is it eventually periodic and to what does it converge?

Show that $(x+1)^p \equiv x^p +1 \pmod{p^2}$ given conditions on $x$ and $p$.

Understanding why some Galois extension over $\mathbb{Q}_2$ has Galois group $\operatorname{GL}_2(\mathbb{F}_3)$

$\Bbb Q$ is not complete w.r.t. $p$-adic norm

Associated graded ring of p-adic integers $\mathbb Z_p$

Is it true that for every $p$ and $q$ prime there exist infinitely many $k$ such that $p^k - 1$ is divisible by $q$?

Is $\text{Frac}(O_K)=K$?

How to construct a $p$-adic power series $g(x)$ over $O$ or over $\text{Frac}(O)$ from a given series $f(x) $?

How to estimate the highest power of 2 in the partial sum of 2-adic $\log(-1)$ ( $\sum_{i=1}^n\frac{2^i}{i}$)?

square root in 2-adics

Uniquely orderable subfields of $\mathbb{Q}_p$?

Unramified extension of $\mathbb{Q}_p$

P-Adic Expansion of Rational Number (Reverse Direction)

$\dim(H^1(G_K,\mathbb{Q}_p(1)))=1+[K:\mathbb{Q}_p]$ when $\ell=p$ and $1$ otherwise?

Series of Witt vectors converges if every series of the components converge

Trending Questions

Popular # Hahtags

Popular Questions