List questions from p-adic-number-theory

Published on 03 Nov 2014 - 19:39

1.4k

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At which p-adic fields does the equation have no solution?

Published on 04 Nov 2014 - 17:10

1.3k

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sequence $\{a^{p^{n}}\}$ converges in the p-adic numbers.

Published on 06 Nov 2014 - 17:55

228

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Extending a DVR could produce not a DVR

Published on 25 Mar 2026 - 13:53

377

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$\sum_{\zeta^p=1}(\zeta-1)^n$

Published on 27 Mar 2026 - 9:48

393

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Every Cauchy sequence converges

Published on 27 Mar 2026 - 19:51

51

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Determine if $\sum_{q=1}^{\lceil n/2\rceil}R_q(n)$ gives the number of divisors of $n$.

Published on 25 Mar 2026 - 21:51

442

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Proving existence of $\overline{\Bbb Q_p}$ without AC

Published on 21 Nov 2014 - 20:03

78

Views

Understanding the mechanics of P-adic topologies

Published on 21 Nov 2014 - 21:31

558

Views

$t$-adic topology (on $\mathbb F_p(1/t)$)

Published on 26 Nov 2014 - 16:05

868

Views

Visualizing Balls in Ultrametric Spaces

Published on 27 Nov 2014 - 2:33

719

Views

Counting tamely ramified Galois extensions of $\mathbb{Q}_p$ with a given Galois group.

Published on 29 Nov 2014 - 19:14

187

Views

Begginer doubt in Ring of p-adic integers

Published on 01 Dec 2014 - 18:04

541

Views

Why does taking completions make number fields simpler?

Published on 01 Dec 2014 - 18:41

231

Views

Two doubts about squares in $\Bbb Z_p$

Published on 01 Dec 2014 - 20:52

List Question

Why doesn't the equation have a solution in $\mathbb{Q}_2$?

At which p-adic fields does the equation have no solution?

sequence $\{a^{p^{n}}\}$ converges in the p-adic numbers.

Extending a DVR could produce not a DVR

$\sum_{\zeta^p=1}(\zeta-1)^n$

Every Cauchy sequence converges

Determine if $\sum_{q=1}^{\lceil n/2\rceil}R_q(n)$ gives the number of divisors of $n$.

Proving existence of $\overline{\Bbb Q_p}$ without AC

Understanding the mechanics of P-adic topologies

$t$-adic topology (on $\mathbb F_p(1/t)$)

Visualizing Balls in Ultrametric Spaces

Counting tamely ramified Galois extensions of $\mathbb{Q}_p$ with a given Galois group.

Begginer doubt in Ring of p-adic integers

Why does taking completions make number fields simpler?

Two doubts about squares in $\Bbb Z_p$

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