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144
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Why is there no equality in Krasner's lemma?

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#algebraic-number-theory #p-adic-number-theory
352
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Is there a proof of quadratic reciprocity using $p$-adic numbers?

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#number-theory #alternative-proof #p-adic-number-theory #quadratic-reciprocity
105
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$p$-adic power series and its maximum in the unit ball

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#algebraic-number-theory #p-adic-number-theory #valuation-theory #rigid-analytic-spaces #nonarchimedian-analysis
200
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On the Newton Polygon for $p-$adic Power series

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#power-series #absolute-value #p-adic-number-theory #valuation-theory
964
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Can we study representation of $p$-adic group by studying $p$-adic Lie algebra?

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#number-theory #representation-theory #lie-groups #lie-algebras #p-adic-number-theory
69
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Valuation of $x^\lambda$ in a complete, $p$-valued group

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#abstract-algebra #group-theory #p-adic-number-theory #valuation-theory
817
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Extending absolute values on local fields - what is the 'correct' normalization and the relation to the global theory?

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#number-theory #algebraic-number-theory #p-adic-number-theory #valuation-theory #local-field
274
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Infinite direct sum of p-adic integers is not p-adic

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#abstract-algebra #p-adic-number-theory #localization #derived-categories
337
Views

Torsion-free abelian groups, tensor product and $p$-adic integers

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#abstract-algebra #group-theory #tensor-products #abelian-groups #p-adic-number-theory
74
Views

Estimating of Big Omega function

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#number-theory #p-adic-number-theory #arithmetic-functions
31
Views

How can I show that this function is a 1-Lipschitz function?

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#p-adic-number-theory
550
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Open balls in $p$-adic numbers.

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#p-adic-number-theory
475
Views

Why is the residue field of $\mathbb{Q}_p$ isomorphic to $\mathbb{F}_p$?

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#number-theory #field-theory #finite-fields #p-adic-number-theory #valuation-theory
139
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On the existence of an algebraically closed field containing other fields

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#abstract-algebra #field-theory #extension-field #real-numbers #p-adic-number-theory
587
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Embedding $\mathbb C_p$ into $\mathbb C$ and vice versa...?

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#number-theory #p-adic-number-theory #characters

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