List questions from p-adic-number-theory

Published on 25 Mar 2026 - 3:07

426

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$p$-adic exponential and Strassmans theorem

Published on 10 Jan 2017 - 11:22

184

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Why is $O_{\mathbb{C}_p}/p$ not perfect?

Published on 26 Mar 2026 - 7:32

9k

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Units of p-adic integers

Published on 16 Jan 2017 - 0:22

131

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Find $\sqrt[4]{2}$ in $\mathbb{Q}_5$ and in $\mathbb{Q}_7$

Published on 26 Mar 2026 - 13:57

144

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How does one show that $v(N_{L/K}L^{\times})=f_{L/K}\cdot v(K^{\times})$?

Published on 17 Jan 2017 - 21:53

314

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How do the elementary divisors of a matrix over a PID change if it is enlarged by a vector?

Published on 29 Mar 2026 - 7:39

1.2k

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Understanding the limit in $\mathbb{Z_p}$

Published on 21 Jan 2017 - 10:16

183

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Given a complete discrete valuation field $L$, is there always a complete local field $K\subset L$?

Published on 26 Mar 2026 - 13:51

370

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Show that all triangles in $\mathbb{Z_p}$ are isosceles

Published on 27 Jan 2017 - 5:03

54

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Growth and multiplication of $p$-adic formal power series

Published on 29 Jan 2017 - 15:46

97

Views

Problem with understanding p-adic proof of Skolem-Mahler-Lech theorem

Published on 29 Jan 2017 - 18:12

42

Views

$\int\limits_{\mathcal O_K^r} |f(x_1, ... , x_r)|^s dx_1 \cdots dx_r$ is holomorphic on $\textrm{Re}(s) > 0$

Published on 30 Jan 2017 - 15:38

776

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Deducing Hensel's lemma for polynomials

Published on 25 Mar 2026 - 2:59

2k

Views

Show that $\mathbb{Q_p} $ is locally compact

Published on 28 Mar 2026 - 10:40

List Question

What is the average absolute value if adding a matrix by a random invertible matrix.

$p$-adic exponential and Strassmans theorem

Why is $O_{\mathbb{C}_p}/p$ not perfect?

Units of p-adic integers

Find $\sqrt[4]{2}$ in $\mathbb{Q}_5$ and in $\mathbb{Q}_7$

How does one show that $v(N_{L/K}L^{\times})=f_{L/K}\cdot v(K^{\times})$?

How do the elementary divisors of a matrix over a PID change if it is enlarged by a vector?

Understanding the limit in $\mathbb{Z_p}$

Given a complete discrete valuation field $L$, is there always a complete local field $K\subset L$?

Show that all triangles in $\mathbb{Z_p}$ are isosceles

Growth and multiplication of $p$-adic formal power series

Problem with understanding p-adic proof of Skolem-Mahler-Lech theorem

$\int\limits_{\mathcal O_K^r} |f(x_1, ... , x_r)|^s dx_1 \cdots dx_r$ is holomorphic on $\textrm{Re}(s) > 0$

Deducing Hensel's lemma for polynomials

Show that $\mathbb{Q_p} $ is locally compact

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