List questions from p-adic-number-theory

Published on 17 Nov 2016 - 19:22

427

Views

The $n$-adic integers are isomorphic to the product of the $p_i$-adic integers where the $p_i$ are the distinct prime factors of $n$

Published on 18 Nov 2016 - 8:53

60

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If $H \subseteq G$ are finite abelian groups, how does $L^2(H)$ embed into $L^2(G)$?

Published on 25 Mar 2026 - 17:39

718

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Tate module of an elliptic curve is Hodge-Tate

Published on 25 Mar 2026 - 11:16

84

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does there exist a countably infinite normed field which is complete?

Published on 26 Mar 2026 - 13:49

34

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Equality of two sums in $\mathbb{Q}_3$

Published on 20 Nov 2016 - 2:43

752

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Find all $x,y,z$ such that $x^2 + y^2 + z^2 = 3^{10}$

Published on 27 Mar 2026 - 22:31

49

Views

What follows from equality after reduction mod $p$ of closed subgroups of $\mathrm{GL}_n(\mathbb{Z}_p)$?

Published on 25 Mar 2026 - 19:06

396

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Why is the first $p$-adic congruence subgroup a pro-$p$ group?

Published on 17 Mar 2026 - 23:05

59

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Is $\mathrm{i}$ congruent $2$ or $3$ mod $5$?

Published on 30 Nov 2016 - 7:51

116

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Reichardt's equation

Published on 01 Dec 2016 - 19:27

84

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Non-Archimedean Banach spaces with automorphism groups that are transitive on the unit sphere

Published on 03 Dec 2016 - 16:57

138

Views

When can an algebraic number be approximated by a $p$-adic number?

Published on 25 Mar 2026 - 4:38

93

Views

How would you go about writing $1/3=\sum\limits_{n=-k}^{\infty}a_n 2^{n}$ where $a_n=0,1$

Published on 04 Dec 2016 - 1:40

168

Views

What is the absolute value on $\mathbb{Z}_p[X]$ in this context?

Published on 05 Dec 2016 - 19:18

List Question

question about zero of $p$-adic $L$-function

The $n$-adic integers are isomorphic to the product of the $p_i$-adic integers where the $p_i$ are the distinct prime factors of $n$

If $H \subseteq G$ are finite abelian groups, how does $L^2(H)$ embed into $L^2(G)$?

Tate module of an elliptic curve is Hodge-Tate

does there exist a countably infinite normed field which is complete?

Equality of two sums in $\mathbb{Q}_3$

Find all $x,y,z$ such that $x^2 + y^2 + z^2 = 3^{10}$

What follows from equality after reduction mod $p$ of closed subgroups of $\mathrm{GL}_n(\mathbb{Z}_p)$?

Why is the first $p$-adic congruence subgroup a pro-$p$ group?

Is $\mathrm{i}$ congruent $2$ or $3$ mod $5$?

Reichardt's equation

Non-Archimedean Banach spaces with automorphism groups that are transitive on the unit sphere

When can an algebraic number be approximated by a $p$-adic number?

How would you go about writing $1/3=\sum\limits_{n=-k}^{\infty}a_n 2^{n}$ where $a_n=0,1$

What is the absolute value on $\mathbb{Z}_p[X]$ in this context?

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