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Open subgroups of Galois group with restricted ramification

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#galois-theory #algebraic-number-theory
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Discriminant of $\mathbb{Q}(\sqrt{d})\big/\mathbb{Q}$ for square-free $d$.

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#abstract-algebra #number-theory #algebraic-number-theory
1.5k
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Twists of an Elliptic Curve over Finite Fields

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#galois-theory #algebraic-number-theory #elliptic-curves #algebraic-curves
126
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Free module over PID and algebraic structure inheritance

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#abstract-algebra #number-theory #algebraic-number-theory
109
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cubic diophantine equations $x^3+11y^3=1$

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#algebraic-number-theory #diophantine-equations #p-adic-number-theory
3k
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How to find all rational solutions of $\ x^2 + 3y^2 = 7 $?

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#number-theory #elementary-number-theory #algebraic-number-theory
1.3k
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Why does the GCD of two ideals exist?

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#abstract-algebra #algebraic-number-theory
30
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study of the properties of a ring with several quadratic elements

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#algebraic-number-theory
174
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Proving a ring homomorphism for the ring of integers over its ideal

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#abstract-algebra #commutative-algebra #algebraic-number-theory
56
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Looking for specific irreducible inseperable polynomial over $\mathbb{F}_2(t)$ where t an indeterminate.

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#number-theory #field-theory #algebraic-number-theory #finite-fields #function-fields
714
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There exist an integral ideal prime to a given nonzero integral ideal

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#algebraic-number-theory #dedekind-domain
153
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The hypothesis of the unbounded product of the digits of a prime number

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#number-theory #prime-numbers #algebraic-number-theory
573
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Reference request - infinite ramification theory

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#abstract-algebra #number-theory #reference-request #commutative-algebra #algebraic-number-theory
67
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Is norm form a polynomial with integer coefficients?

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#algebraic-number-theory
451
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Ask for the rational roots of $\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}=4.$

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#number-theory #algebraic-geometry #algebraic-number-theory #algebraic-curves #riemann-surfaces

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