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15
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Odd amicable pair

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#elementary-number-theory #algebraic-number-theory #square-numbers
488
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discrete multiplicative subgroup of the reals are cyclic

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#group-theory #algebraic-number-theory #absolute-value #valuation-theory
99
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Property prime powers

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#number-theory #elementary-number-theory #modular-arithmetic #algebraic-number-theory
48
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Why is $EK_w$ complete?

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#algebraic-number-theory #class-field-theory
526
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What are non-canonical generators of $\hat{\mathbb{Z}}$ (resp. the absolute Galois group of a finite field)?

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#abstract-algebra #galois-theory #algebraic-number-theory #finite-fields #automorphism-group
202
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Algebraic Number Theory and Euler's constant

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#soft-question #algebraic-number-theory #advice
125
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Sums of powers of algebraic numbers that are rational

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#field-theory #algebraic-number-theory #extension-field #sums-of-squares
474
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Are we allowed to interchange product and inverse limits?

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#abstract-algebra #algebraic-number-theory #p-adic-number-theory #chinese-remainder-theorem #profinite-groups
471
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Is there a good criterion to determine if a polynomial with integer or rational coefficients is irreducible over the field of p-adic numbers?

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#abstract-algebra #number-theory #polynomials #algebraic-number-theory #p-adic-number-theory
433
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Elementary proof of $\mathcal{O}_K$ is a free abelian group of rank $n$

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#abstract-algebra #ring-theory #field-theory #algebraic-number-theory
362
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Condition for fractional ideals to be isomorphic in a Dedekind domain

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#number-theory #algebraic-number-theory
174
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Are there only finitely many number fields with given prime factors of discriminant?

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#abstract-algebra #number-theory #algebraic-number-theory #discriminant
369
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Maximal extension of $\mathbb Q$ unramified outside a finite set of primes

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#number-theory #algebraic-number-theory #discriminant #ramification
232
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Non-free rings of integers

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#number-theory #algebraic-number-theory #extension-field #free-modules
331
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Calculating the degree of some extension of $\mathbb{Q}_3$

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#abstract-algebra #number-theory #algebraic-number-theory #extension-field #p-adic-number-theory

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