List questions from p-adic-number-theory

Published on 26 Mar 2026 - 12:45

163

Views

How to define the addition and multiplication of p-adic integers as infinite formal sums?

Published on 27 Mar 2024 - 15:31

107

Views

Difficulties with $\mathbb Z_3$, $3$-adic numbers and a relative questioning

Published on 25 Mar 2026 - 12:15

79

Views

How to find the divergent renormalization of $\sum_{n=1}^{\infty} \frac{2^n}{n}$?

Published on 26 Mar 2026 - 19:01

501

Views

Is $123456788910111121314\cdots$ a $p$-adic integer?

Published on 03 Jan 2015 - 3:55

159

Views

$0$ and $p^n \mathbb{Z}_p$ are the only ideals of $\mathbb{Z}_p$

Published on 03 Jan 2015 - 16:14

224

Views

For $p\ge3$ there is no extension of $\mathbb Q_p$ with Galois group $S_4$

Published on 26 Mar 2026 - 12:49

762

Views

the Teichmüller character

Published on 05 Jan 2015 - 16:56

1k

Views

Finite index subgroup $G$ of $\mathbb{Z}_p$ is open.

Published on 06 Jan 2015 - 13:08

804

Views

Explicitly computing uniformisers of local fields

Published on 26 Mar 2026 - 12:42

108

Views

Herbrand Quotient: Formula for $|K^/(K^)^n|$

Published on 14 Jan 2015 - 0:37

72

Views

Why does it suffice to show it for positive integers?

Published on 14 Jan 2015 - 21:03

578

Views

Efficient Method/Algorithm to Compute the P-adic Ordinal of a Positive Integer

Published on 21 Jan 2015 - 2:04

133

Views

Show an $R$-module is a direct limit

Published on 23 Jan 2015 - 23:26

808

Views

Taylor expansion in $p$-adic integers

Published on 24 Jan 2015 - 5:58

List Question

Matrices preserving the sup-norm on $\mathbb{Q}_p^n$

How to define the addition and multiplication of p-adic integers as infinite formal sums?

Difficulties with $\mathbb Z_3$, $3$-adic numbers and a relative questioning

How to find the divergent renormalization of $\sum_{n=1}^{\infty} \frac{2^n}{n}$?

Is $123456788910111121314\cdots$ a $p$-adic integer?

$0$ and $p^n \mathbb{Z}_p$ are the only ideals of $\mathbb{Z}_p$

For $p\ge3$ there is no extension of $\mathbb Q_p$ with Galois group $S_4$

the Teichmüller character

Finite index subgroup $G$ of $\mathbb{Z}_p$ is open.

Explicitly computing uniformisers of local fields

Herbrand Quotient: Formula for $|K^/(K^)^n|$

Why does it suffice to show it for positive integers?

Efficient Method/Algorithm to Compute the P-adic Ordinal of a Positive Integer

Show an $R$-module is a direct limit

Taylor expansion in $p$-adic integers

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