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Sequential continuity of automorphisms of number fields

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#number-theory #analysis #algebraic-number-theory #automorphism-group
125
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Quotients of ramification groups seen as additive subgroups of $S/Q$.

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#abstract-algebra #algebraic-number-theory
218
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$p=a^2+ab+41b^2$ iff $-163$ is a quadratic residue

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#algebraic-number-theory #normed-spaces #integers #quadratic-forms
725
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Lubin-Tate formal groups are $p$-divisible groups

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#abstract-algebra #algebraic-geometry #power-series #algebraic-number-theory #p-adic-number-theory
89
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(Milne CFT p. 36) Showing an $A$-module in an exact sequence is cyclic.

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#abstract-algebra #algebraic-number-theory #class-field-theory
94
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Proof explanation of $P(p^e) \cong \mathbb{Z}/(p-1)\mathbb{Z} \times \mathbb{Z}/(p^{e-1})\mathbb{Z}$.

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#abstract-algebra #group-theory #proof-explanation #algebraic-number-theory #group-isomorphism
1.3k
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Ring of integers of $\mathbb{Q}(i,\sqrt{5})$

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#number-theory #algebraic-number-theory #integer-rings
413
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Marcus Number Fields chapter 5 exercise 8

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#number-theory #algebraic-number-theory #principal-ideal-domains
546
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Congruence about Fibonacci numbers

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#number-theory #modular-arithmetic #algebraic-number-theory #fibonacci-numbers #quadratic-residues
65
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Show that $O_k$ is a principal ideal domain if and only if

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#algebraic-number-theory
1.1k
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Lamé's proof of Fermat Last Theorem for n=3

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#number-theory #algebraic-number-theory #infinite-descent
65
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Solve polynomials equations in $\Bbb Z$

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#systems-of-equations #algebraic-number-theory #nonlinear-system
181
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Valuation of a number field element over a prime ideal in an order

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#algebraic-geometry #algebraic-number-theory #valuation-theory #class-field-theory
52
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Integer representatives for $F^{\times} / N_{E/F}(E^{\times})$?

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#algebraic-number-theory #algebraic-numbers
3.5k
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How to divide one number in $\textbf Q(\zeta_8)$ by another?

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#algebraic-number-theory #arithmetic #algebraic-numbers

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