List questions from p-adic-number-theory

31

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$p$-adic solutions for simultaneous equations $D_1 X^2 + D_4 W^2 = D_2 Y^2 \quad \quad D_1 X^2 - D_4 W^2 = D_3 Z^2$.

Published on 03 Sep 2020 - 5:55

122

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generators of $SL(2,\mathbf{Q}_p)$

Published on 03 Sep 2020 - 7:53

98

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$p$- - adic derivatives of the Iwasawa logarithm

Published on 06 Sep 2020 - 15:47

1.6k

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A puzzle involving $10$-adic numbers

Published on 31 Mar 2026 - 18:37

1.1k

Views

Strong approximation theorem and Chinese remainder theorem

Published on 28 Mar 2026 - 12:13

210

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On an identity of formal power series (logarithm)

Published on 27 Mar 2026 - 17:35

169

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Properties of p-adic numbers for specific p

Published on 22 Sep 2020 - 0:12

88

Views

Does a set of simultaneous equations have solution in $\Bbb Q_p$

Published on 23 Sep 2020 - 7:21

42

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About a specific galois extension inside $C^{\flat}$, related with Fontaine's period rings.

Published on 26 Mar 2026 - 4:53

75

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Why is $v_2(3^t-1)\ge t$?

Published on 26 Mar 2026 - 14:19

1.4k

Views

Can we define a derivative on the $p$-adic numbers?

Published on 28 Mar 2026 - 17:39

1.5k

Views

Multiplication of $p$-adic integers

Published on 02 Oct 2020 - 23:55

45

Views

To show $l^2a+\pi l b \in (\pi \mathbb{Z}_3[\zeta_3])^2$

Published on 03 Oct 2020 - 17:01

207

Views

I want to show $\log_p(\alpha+a_0 \pi)=-\frac{\beta^2}{2} \pi^2+\pi^3 \mathbb{Z}_p[\zeta_p]$, for $p \neq 2$.

Published on 07 Oct 2020 - 2:36

89

Views

Understanding action of $(\mathbb Z_p/(p^n))^ \times$ in Lubin Tate formal group laws context on $\mathbb{Q}_p[\zeta_{p^r}]$

Published on 26 Mar 2026 - 6:31

List Question

$p$-adic solutions for simultaneous equations $D_1 X^2 + D_4 W^2 = D_2 Y^2 \quad \quad D_1 X^2 - D_4 W^2 = D_3 Z^2$.

generators of $SL(2,\mathbf{Q}_p)$

$p$- - adic derivatives of the Iwasawa logarithm

A puzzle involving $10$-adic numbers

Strong approximation theorem and Chinese remainder theorem

On an identity of formal power series (logarithm)

Properties of p-adic numbers for specific p

Does a set of simultaneous equations have solution in $\Bbb Q_p$

About a specific galois extension inside $C^{\flat}$, related with Fontaine's period rings.

Why is $v_2(3^t-1)\ge t$?

Can we define a derivative on the $p$-adic numbers?

Multiplication of $p$-adic integers

To show $l^2a+\pi l b \in (\pi \mathbb{Z}_3[\zeta_3])^2$

I want to show $\log_p(\alpha+a_0 \pi)=-\frac{\beta^2}{2} \pi^2+\pi^3 \mathbb{Z}_p[\zeta_p]$, for $p \neq 2$.

Understanding action of $(\mathbb Z_p/(p^n))^ \times$ in Lubin Tate formal group laws context on $\mathbb{Q}_p[\zeta_{p^r}]$

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