List questions from p-adic-number-theory

Published on 26 Mar 2026 - 4:22

226

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2-adic valuation of odd harmonic sums

Published on 28 Mar 2026 - 4:33

51

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What is the $2$-adic order of the number $(2k+1)^n-1?$

Published on 17 Jul 2016 - 19:16

325

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Index for p-adic subgroups

Published on 18 Jul 2016 - 10:49

148

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Valuation of Index of polynomial with Newton Polygon

Published on 19 Jul 2016 - 3:30

1.2k

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Convergence with the $5$-adic metric.

Published on 22 Jul 2016 - 18:35

119

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Is this a correct definition for $p$-adic norm?

Published on 26 Jul 2016 - 19:19

266

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does $\sum n!$ converge to a rational number in $p$-adic sense ? (open problem ?)

Published on 02 Aug 2016 - 2:39

46

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Valuation of a complete field is $\mathbb{Z}$?

Published on 03 Aug 2016 - 16:08

228

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closed balls are connected when its given the topology on $k$ given by non archimedian abosolute value?

Published on 05 Aug 2016 - 6:04

123

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Is it a possible of p-adic number to euclidean geometry

Published on 06 Aug 2016 - 10:41

324

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Finding a $p$-adic root of a polynomial using a convergent sequence of roots modulo $p^n$.

Published on 11 Aug 2016 - 17:51

2.7k

Views

Various $p$-adic integrals

Published on 14 Aug 2016 - 19:10

66

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local parameter z=-x/y of p-adic expansion

Published on 16 Aug 2016 - 1:21

612

Views

Can one define the $p$-adic exponential function $\exp_p (x)$ as the limit of $(1 + x/n)^n$ when $n\to\infty$?

Published on 21 Aug 2016 - 13:31

List Question

Fraction field of $p$-adic power series ring

2-adic valuation of odd harmonic sums

What is the $2$-adic order of the number $(2k+1)^n-1?$

Index for p-adic subgroups

Valuation of Index of polynomial with Newton Polygon

Convergence with the $5$-adic metric.

Is this a correct definition for $p$-adic norm?

does $\sum n!$ converge to a rational number in $p$-adic sense ? (open problem ?)

Valuation of a complete field is $\mathbb{Z}$?

closed balls are connected when its given the topology on $k$ given by non archimedian abosolute value?

Is it a possible of p-adic number to euclidean geometry

Finding a $p$-adic root of a polynomial using a convergent sequence of roots modulo $p^n$.

Various $p$-adic integrals

local parameter z=-x/y of p-adic expansion

Can one define the $p$-adic exponential function $\exp_p (x)$ as the limit of $(1 + x/n)^n$ when $n\to\infty$?

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