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If $a \mid b^2$, $b \mid c^2$, $c \mid a^2$ then prove $abc \mid (a+b+c)^7$

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#elementary-number-theory #contest-math #algebraic-number-theory #divisibility
113
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Problem with ideal arithmetic in free relations of NFS

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#commutative-algebra #algebraic-number-theory #ideals
213
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Function field of genus zero with a prime of degree 2

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#algebraic-number-theory #algebraic-curves
518
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Why is $2$ so troublesome a prime?

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#soft-question #prime-numbers #algebraic-number-theory
790
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ideals in $\mathbb{Q}(\sqrt{-5})$ with norm less than $100$?

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#algebraic-number-theory #ideals #class-field-theory
77
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Question in number theory related to sin

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#number-theory #algebraic-number-theory
91
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Basis of $\mathbb{Z}[\zeta_p]/p\mathbb{Z}[\zeta_p]$ over $\mathbb{Z}_p$.

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#abstract-algebra #algebraic-number-theory
182
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Which primes $\mathfrak{p}$ can be written as sums of two squares in $\mathbb{Q}(\sqrt[3]{2})$?

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#algebraic-number-theory #cubics #sums-of-squares #class-field-theory
77
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Show isomorphisms of abelian groups

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#algebraic-number-theory #ideals #group-isomorphism
343
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Connection between discriminant of ideal and quadratic number field.

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#algebraic-number-theory #normed-spaces #ideals #discriminant
54
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A multiplication notation

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#algebraic-number-theory
718
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The set of integers $n$ expressible as $n=x^2+xy+y^2$

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#number-theory #elementary-number-theory #algebraic-number-theory #quadratic-forms #eisenstein-integers
287
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Positive dimension for modular forms with weight 2.

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#number-theory #algebraic-number-theory #analytic-number-theory #modular-forms #arithmetic-geometry
51
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Is this subset dense in a complete field?

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#algebraic-number-theory #local-field
2k
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Absolute Galois group of $\Bbb Q_p$ while varying $p$

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#field-theory #galois-theory #algebraic-number-theory #p-adic-number-theory

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