List questions from p-adic-number-theory

Published on 01 Feb 2020 - 17:34

87

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computing integral over units in p-adic integers

Published on 26 Mar 2026 - 10:56

60

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The series $\sum_{n=0}^{\infty} n^kp^n$

Published on 02 Feb 2020 - 18:41

94

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If a $p$-adic formal power series $\Phi(T)$ satisfies $\Phi(\zeta-1)\in\mu_{p^\infty}$, then $\Phi(T)=\zeta_0(T+1)^b$?

Published on 27 Mar 2026 - 16:09

67

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If $A^\Gamma$ is finite why is $A/(\gamma-1)A$ trivial?

Published on 26 Mar 2026 - 19:18

543

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Computing the minimal polynomial of a 7th root of unity over $\mathbb{Q}_3(i,\sqrt[4]{-3})$

Published on 07 Feb 2020 - 22:45

125

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How does one invert a p-adic mellin transform, and what does it say about function asymptotics?

Published on 25 Mar 2026 - 10:52

553

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How to compute the minimal polynomial of the 8th root of unity over $\mathbb{Q}_3$?

Published on 09 Feb 2020 - 23:50

368

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Maximal tamely ramified extension of $\mathbb{Q}_p$

Published on 25 Mar 2026 - 17:19

225

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Having trouble computing some minimal polynomial of a complicated primitive element over $\mathbb{Q}_3(i,\sqrt[4]{-3})$

Published on 25 Mar 2026 - 23:38

63

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Analytic continuation of a p-adic power series

Published on 13 Feb 2020 - 10:10

180

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Completeness in Krasner's Lemma

Published on 26 Mar 2026 - 7:41

75

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Examples of reductive p-adic groups representations

Published on 25 Mar 2026 - 14:24

101

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The space $(\mathbb{Q}_{p}[X],|-|_{\text{gauss}})$ is not complete

Published on 28 Mar 2026 - 11:01

87

Views

Compute an approximation of some cubic polynomial over an extension of the $3$-adics

Published on 26 Mar 2026 - 7:46

List Question

$(x^3 - y^3 + a)(x^3 - z^3 + b)(y^3 - z^3 + b - a)$ soluble in $\mathbb{Z}_p$

computing integral over units in p-adic integers

The series $\sum_{n=0}^{\infty} n^kp^n$

If a $p$-adic formal power series $\Phi(T)$ satisfies $\Phi(\zeta-1)\in\mu_{p^\infty}$, then $\Phi(T)=\zeta_0(T+1)^b$?

If $A^\Gamma$ is finite why is $A/(\gamma-1)A$ trivial?

Computing the minimal polynomial of a 7th root of unity over $\mathbb{Q}_3(i,\sqrt[4]{-3})$

How does one invert a p-adic mellin transform, and what does it say about function asymptotics?

How to compute the minimal polynomial of the 8th root of unity over $\mathbb{Q}_3$?

Maximal tamely ramified extension of $\mathbb{Q}_p$

Having trouble computing some minimal polynomial of a complicated primitive element over $\mathbb{Q}_3(i,\sqrt[4]{-3})$

Analytic continuation of a p-adic power series

Completeness in Krasner's Lemma

Examples of reductive p-adic groups representations

The space $(\mathbb{Q}_{p}[X],|-|_{\text{gauss}})$ is not complete

Compute an approximation of some cubic polynomial over an extension of the $3$-adics

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