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Splitting behaviour of primes in $\textbf Q(\sqrt{-p_1 \cdots p_n})$

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#field-theory #algebraic-number-theory
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Order of Algebraic Number Field

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#field-theory #algebraic-number-theory
123
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smallest field extension with rational points

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#algebraic-geometry #algebraic-number-theory #arithmetic-geometry
88
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Solution to $x^3-y^2=6$

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#algebraic-number-theory
269
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Building intuition in algebraic number theory

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#algebraic-number-theory #intuition
591
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Tamely Ramified field extension of a Local Field

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#algebraic-number-theory #extension-field #local-field #kummer-theory
118
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$\text{End}_{\mathbb{Q}}(E)=\mathbb{Z}$

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#algebraic-number-theory #elliptic-curves #abelian-varieties
538
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Minimal polynomial of root $\zeta_n$ over finite field $\mathbb{F}_p$

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#algebraic-number-theory #extension-field #cyclotomic-polynomials #cyclotomic-fields
93
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An problem in elementary number theory used for proving Artin's lemma(class field theory)

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#elementary-number-theory #algebraic-number-theory #class-field-theory
89
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A Pythagorean quadruple-like equation: $(2a^2)^2+(ab)^2+2^2=c^2$

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#number-theory #elementary-number-theory #algebraic-number-theory #diophantine-equations
213
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What is the proper terminology for this?

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#terminology #algebraic-number-theory
829
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Definition of a splitting field of a finite group

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#abstract-algebra #representation-theory #algebraic-number-theory
401
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The unramified quadratic extension of $\mathbb{Q}_2$

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#algebraic-number-theory #p-adic-number-theory
62
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Questions about the square root of $a$ in $\mathbb{F}_p$.

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#number-theory #algebraic-number-theory
625
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Density of set of splitting primes

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#algebraic-number-theory #galois-theory #ideals

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