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15
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Simpler version of Tchebotarev's theorem (base field $\mathbb{Q}$)

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#number-theory #algebraic-number-theory #analytic-number-theory
129
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What is $\mathbb{Q}_3(\sqrt{-6})^{\times}/\left(\mathbb{Q}_3(\sqrt{-6})^{\times}\right)^3$?

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#number-theory #algebraic-number-theory #local-field #kummer-theory
176
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Using Krasner's lemma to get extensions of local fields from global fields

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#algebraic-number-theory #local-field
122
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When is it possible to write an algebraic field extension as a union of a totally ordered (countable) family of finite subfields?

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#abstract-algebra #field-theory #algebraic-number-theory
61
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The a.c.c. on radical ideals fails in the ring of algebraic integers

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#commutative-algebra #algebraic-number-theory
564
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If $a$ and $b$ are algebraic, then $\frac ab$ is algebraic

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#polynomials #algebraic-number-theory #algebraic-numbers
243
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An irreducible Weil(-Deligne) representation is automatically semisimple

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#number-theory #algebraic-number-theory #langlands-program
211
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How to round to algebraic integers in real quadratic integer domains

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#algebraic-number-theory #arithmetic #algebraic-numbers
304
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Motivation for direct limit and filtered directed limit?

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#algebraic-geometry #category-theory #algebraic-number-theory
65
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Properties of localization of fractional ideals

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#abstract-algebra #commutative-algebra #algebraic-number-theory
86
Views

Riemann Roch theorem for surfaces

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#algebraic-number-theory #algebraic-curves #riemann-surfaces #arithmetic-geometry #divisors-algebraic-geometry
63
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When the value of modular $j$ function is cubic number

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#algebraic-number-theory #modular-function
103
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prove the formula where $n=\prod_{i=1}^k p_{i}^{\alpha_i}$

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#number-theory #algebraic-number-theory #divisibility #divisor-sum #arithmetic-functions
826
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Maximal Unramified Extension of a Galois Extension

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#galois-theory #algebraic-number-theory #ramification
86
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Converting from Ideal Basis to Binary Quadratic Form

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#abstract-algebra #number-theory #algebraic-number-theory #quadratic-forms

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