List questions from p-adic-number-theory

Published on 22 Sep 2018 - 7:11

88

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Effectively check if a polynomial has a root in $\mathbb{Z}_p$

Published on 26 Sep 2018 - 9:38

437

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Hilbert's theorem 90 for $p$-adic topology

Published on 17 Mar 2026 - 19:30

1.3k

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Computing quotient by dividing formally in $p$-adic number system

Published on 25 Mar 2026 - 9:47

125

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Why do exist conjugate units such that...

Published on 27 Sep 2018 - 16:08

264

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Show that $(x^2-2)(x^2-17)(x^2-34)=0$ has a root in the $p$-adic numbers $\mathbb{Q}_p$ for all primes $p$

Published on 27 Sep 2018 - 21:21

470

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Analogy between p-adic and complex numbers

Published on 28 Sep 2018 - 12:15

175

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P-adic Valuation and Chebyshev Function Lemma Proof

Published on 28 Sep 2018 - 18:17

223

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Is an unramified extension of $Q_p$ complete w.r.t. the extension of the p-adic norm?

Published on 25 Mar 2026 - 8:01

132

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Open and closed balls in $\mathbb{Q}_p$

Published on 29 Sep 2018 - 22:40

34

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$B(a, p^n) = \bar{B}(a, p^{n-1})$ in $\mathbb{Q_p}$

Published on 30 Sep 2018 - 7:27

482

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How to prove that $(\mathbb{Q},d_p)$ is not complete?

Published on 30 Sep 2018 - 11:36

66

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In $\mathbb{Q}_p$ a closed ball of radius $p^n$ is the disjoint union of closed balls of radius $p^{n-1}$

Published on 30 Sep 2018 - 19:05

212

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Proof for relation between p-adic valution of the total number of divisors and the sum of multiplicities

Published on 30 Sep 2018 - 21:54

2.1k

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Visualization of p-adic numbers

Published on 25 Mar 2026 - 2:59

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4-adic numbers and zero divisors

Effectively check if a polynomial has a root in $\mathbb{Z}_p$

Hilbert's theorem 90 for $p$-adic topology

Computing quotient by dividing formally in $p$-adic number system

Why do exist conjugate units such that...

Show that $(x^2-2)(x^2-17)(x^2-34)=0$ has a root in the $p$-adic numbers $\mathbb{Q}_p$ for all primes $p$

Analogy between p-adic and complex numbers

P-adic Valuation and Chebyshev Function Lemma Proof

Is an unramified extension of $Q_p$ complete w.r.t. the extension of the p-adic norm?

Open and closed balls in $\mathbb{Q}_p$

$B(a, p^n) = \bar{B}(a, p^{n-1})$ in $\mathbb{Q_p}$

How to prove that $(\mathbb{Q},d_p)$ is not complete?

In $\mathbb{Q}_p$ a closed ball of radius $p^n$ is the disjoint union of closed balls of radius $p^{n-1}$

Proof for relation between p-adic valution of the total number of divisors and the sum of multiplicities

Visualization of p-adic numbers

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