List questions from p-adic-number-theory

Published on 08 Nov 2022 - 12:22

70

Views

Is $(2x-1)/3$ a homeomorphism on $\Bbb Z_2$? And does it expand or contract?

Published on 16 Nov 2022 - 10:54

58

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Is $f(x)=(2x-1)/3:\Bbb Z_2\to\Bbb Z_2^\times$ a near-homeomorphism? Semihomeomorphism? Homeomorphism?

Published on 16 Nov 2022 - 12:14

70

Views

Are there periodic orbits of two-adic isometries not having period a power of two?

Published on 18 Nov 2022 - 12:39

67

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A proof of a basic result regrading Cauchy sequence in p-adic numbers

Published on 19 Nov 2022 - 13:32

121

Views

Logarithm in P-adic numbers

Published on 19 Nov 2022 - 14:34

144

Views

What are the finite-index subgroups of $\mathbf{Z}_p^\times$?

Published on 20 Nov 2022 - 23:23

105

Views

Are the 2-adic valuations for $2^{-n/m}$ algebraically reliable?

Published on 21 Nov 2022 - 23:58

118

Views

The base field of the Berkovich unit disk

Published on 23 Feb 2026 - 4:55

113

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Surjectivity of p-adic logarithm

Published on 25 Nov 2022 - 18:08

136

Views

Does this equation have a solution in $\mathbb{Q}_{11}$ and in $\mathbb{Q}_p$?

Published on 27 Nov 2022 - 15:24

40

Views

How to find $p$-adic additive valuation of a vector?

Published on 30 Mar 2026 - 7:55

40

Views

Is there always a p-adic $m^{th}$ root of $p^n$ such that n-periodic numbers can be continuously truncated with period $m$?

Published on 02 Dec 2022 - 11:27

108

Views

Order of vanishing of $p$-adic $L$-function

Published on 07 Dec 2022 - 5:02

60

Views

Estimates for the norm of the $p$-adic Iwasawa logarithm

Published on 07 Dec 2022 - 23:40

List Question

p-adic numbers with p greater than 10 and their writing conventions

Is $(2x-1)/3$ a homeomorphism on $\Bbb Z_2$? And does it expand or contract?

Is $f(x)=(2x-1)/3:\Bbb Z_2\to\Bbb Z_2^\times$ a near-homeomorphism? Semihomeomorphism? Homeomorphism?

Are there periodic orbits of two-adic isometries not having period a power of two?

A proof of a basic result regrading Cauchy sequence in p-adic numbers

Logarithm in P-adic numbers

What are the finite-index subgroups of $\mathbf{Z}_p^\times$?

Are the 2-adic valuations for $2^{-n/m}$ algebraically reliable?

The base field of the Berkovich unit disk

Surjectivity of p-adic logarithm

Does this equation have a solution in $\mathbb{Q}_{11}$ and in $\mathbb{Q}_p$?

How to find $p$-adic additive valuation of a vector?

Is there always a p-adic $m^{th}$ root of $p^n$ such that n-periodic numbers can be continuously truncated with period $m$?

Order of vanishing of $p$-adic $L$-function

Estimates for the norm of the $p$-adic Iwasawa logarithm

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