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15
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Primitive Generator for a Quotient of a Ring of Algebraic Integers

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#commutative-algebra #galois-theory #algebraic-number-theory #dedekind-domain #galois-extensions
205
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What is $\Bbb Q_p(p^{1/p^\infty})$?

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#abstract-algebra #number-theory #algebraic-number-theory #p-adic-number-theory
66
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Is there terminology for these rings of algebraic integers of degree $4$?

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#terminology #algebraic-number-theory #algebraic-numbers
169
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Intuition on embeddings, regulator, discriminant of number fields.

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#abstract-algebra #field-theory #algebraic-number-theory
112
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Sin(m°) is algebraic

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#abstract-algebra #algebraic-number-theory
108
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Why is the Tate epsilon factor almost always $1$?

Published on
#number-theory #representation-theory #algebraic-number-theory
262
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Galois is conserved under completions

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#galois-theory #algebraic-number-theory #extension-field #p-adic-number-theory
240
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Characters of $\mathbb A_k/k$

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#number-theory #algebraic-number-theory #harmonic-analysis
435
Views

Number fields with only trivial field automorphism

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#field-theory #galois-theory #algebraic-number-theory
169
Views

Wolfram Alpha can't find an explicit form (or even an explicit form of an approximation of) this innocuous series?

Published on
#sequences-and-series #algebraic-number-theory
76
Views

"Inverting" the Artin map in terms of characters

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#algebraic-number-theory #class-field-theory #quadratic-reciprocity
102
Views

Applying Hensel's Lemma When Leading Coefficient is Not a Unit

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#elementary-number-theory #polynomials #algebraic-number-theory #p-adic-number-theory #hensels-lemma
886
Views

Find the discriminant of $\mathbb{Q}(\sqrt{3},\sqrt{5})$

Published on
#algebraic-number-theory #algebraic-numbers
331
Views

Free submodule of finite index over pid

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#commutative-algebra #algebraic-number-theory #p-adic-number-theory #principal-ideal-domains
91
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Expression for series using odd terms of series representation of Bessel function of the first kind?

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#sequences-and-series #algebraic-number-theory #bessel-functions

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