List questions from p-adic-number-theory

Published on 26 Mar 2026 - 16:26

61

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$-1$ as quadratic residue in $p$-adic rings

Published on 27 Mar 2026 - 23:00

55

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$p$-adic numbers

Published on 11 Feb 2024 - 17:13

73

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Proof using p-adic numbers that $\lim_{x \in \mathbb{N} \to \infty} 2^x = 0$? What am I doing wrong?

Published on 17 Feb 2024 - 23:13

22

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Understanding $p$-adic series normalization.

Published on 23 Feb 2024 - 18:23

19

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On the computation of local adjoint $L$-function of unramified representation

Published on 26 Mar 2026 - 6:21

76

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Is the extension by the zeros of the polynomial $f((x)=x^{2m}-p^{2n}=0$ over $\mathbb{Q}_p$ totally ramified?

Published on 11 Mar 2024 - 13:13

212

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A complete local ring is finite over $\mathbb{Z}_p$ if and only if it has finitely many $\overline{\mathbb{Q}}_p$-valued points?

Published on 12 Mar 2024 - 12:21

34

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Does the 5-hyperrectangle break any complexity thresholds analogous to quintics?

Published on 23 Feb 2026 - 10:15

55

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irreducibility in p-adic field

Published on 27 Mar 2026 - 18:19

67

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Discriminant of the Kummer extension of p-adics

Published on 25 Mar 2026 - 10:35

37

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Over the $p$-adic field, intersecting a linear subspace with the vectors with entries in $\mathbb{Z}_p$

Published on 22 Mar 2024 - 20:33

25

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p-adic Laguerre root-finding algorithm?

Published on 23 Mar 2024 - 1:36

20

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Jacquet module of a parabolic induction

Published on 26 Mar 2026 - 4:31

88

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Hensel's "proof" of transcendence of e

Published on 24 Mar 2024 - 21:31

List Question

A nice description for $t^{k-1}B_{cr}^+/t^kB_{cr}^+$?

$-1$ as quadratic residue in $p$-adic rings

$p$-adic numbers

Proof using p-adic numbers that $\lim_{x \in \mathbb{N} \to \infty} 2^x = 0$? What am I doing wrong?

Understanding $p$-adic series normalization.

On the computation of local adjoint $L$-function of unramified representation

Is the extension by the zeros of the polynomial $f((x)=x^{2m}-p^{2n}=0$ over $\mathbb{Q}_p$ totally ramified?

A complete local ring is finite over $\mathbb{Z}_p$ if and only if it has finitely many $\overline{\mathbb{Q}}_p$-valued points?

Does the 5-hyperrectangle break any complexity thresholds analogous to quintics?

irreducibility in p-adic field

Discriminant of the Kummer extension of p-adics

Over the $p$-adic field, intersecting a linear subspace with the vectors with entries in $\mathbb{Z}_p$

p-adic Laguerre root-finding algorithm?

Jacquet module of a parabolic induction

Hensel's "proof" of transcendence of e

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