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Compute an approximation of some cubic polynomial over a cubic totally ramified extension over the 3-adics

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#abstract-algebra #algebraic-number-theory #p-adic-number-theory #valuation-theory
120
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Approximation of a cubic equation over another cubic totally ramified extension over the $3$-adics

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#abstract-algebra #algebraic-number-theory #p-adic-number-theory #valuation-theory
327
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Conjugacy of maximal algebraic tori

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#p-adic-number-theory #algebraic-groups
1k
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Quadratic extensions of $p$-adic fields

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#galois-theory #p-adic-number-theory #local-field
206
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Unusual completion of $\Bbb{Z}_p[x]$

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#abstract-algebra #p-adic-number-theory #formal-power-series
752
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Solve $x^{2} = -1$ in $\mathbb{Q}_{5}$.

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#elementary-number-theory #p-adic-number-theory
39
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Extending nonarchimedian absolue value over a discrete complete valuation field

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#number-theory #algebraic-number-theory #p-adic-number-theory
241
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Metrics on Q, Ostrowski's theorem

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#number-theory #metric-spaces #field-theory #p-adic-number-theory
90
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Verification of proof of convergence in $p$-adic fields

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#limits #elementary-number-theory #solution-verification #p-adic-number-theory
559
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Why does 1 + 2 + 4 + 8 + ... converge to -1 in the 2-adic number system?

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#sequences-and-series #p-adic-number-theory #divergent-series
157
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Zeros of power series via Newton Polygons

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#power-series #p-adic-number-theory #newton-series
99
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Line of arguments for showing why some extension is quartic and unramified

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#abstract-algebra #algebraic-number-theory #finite-fields #extension-field #p-adic-number-theory
2k
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The $p$-adic integers as an inverse limit of $\mathbb{Z}/p^i\mathbb{Z}$.

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#abstract-algebra #ring-theory #p-adic-number-theory
134
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Rearranging/regrouping the terms in a p-adic series

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#p-adic-number-theory
228
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Does perfection of rings commute with products?

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#algebraic-geometry #commutative-algebra #algebraic-number-theory #p-adic-number-theory

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