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Is $3x+\frac{1}{\lvert x\rvert_2}$ consistently closer to $2^{\infty}$ than $x$ is?

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#p-adic-number-theory
695
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Square classes p-adic numbers isomorphism

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#p-adic-number-theory
201
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Is the topology of the p-adic valuation to the unramfied extension complete?

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#number-theory #p-adic-number-theory #valuation-theory #class-field-theory
146
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What is the measure of any given section of this variant of the Sierpinski carpet? Relationship between p-adics and $\pi$.

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#measure-theory #metric-spaces #p-adic-number-theory #fractals
572
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Spheres and balls in p-adic topology

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#general-topology #p-adic-number-theory
497
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Is the Haar measure on $\mathbb{Q}_p$ complete?

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#measure-theory #p-adic-number-theory #adeles #haar-measure
51
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Roots in $\mathbb{Q}_{p}$

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#p-adic-number-theory
686
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The extension $\mathbb{Q}_3 / \mathbb{Q}$ is not algebraic

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#extension-field #p-adic-number-theory
1.6k
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Interpretation of open balls with the p- adic metric

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#general-topology #graph-theory #metric-spaces #p-adic-number-theory
170
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A basic example of perfectoid field

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#number-theory #p-adic-number-theory
88
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$p$-valued pro-$p$ groups

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#abstract-algebra #group-theory #p-adic-number-theory #valuation-theory #profinite-groups
79
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Analytic points in continuous valuation spectra of Huber rings

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#commutative-algebra #p-adic-number-theory #valuation-theory #rigid-analytic-spaces
418
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Iwasawa and Cartan decomposition of $p$-adic classical groups

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#lie-groups #p-adic-number-theory #reductive-groups
43
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Proof about the closed integral $\mathbb{Z}_p[\zeta_p]$

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#ring-theory #extension-field #p-adic-number-theory #galois-extensions #ramification
85
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Coefficients of irreducible supercuspidal representation

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#representation-theory #algebraic-number-theory #p-adic-number-theory #reductive-groups

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