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If an element in ring of integers is square modulo every prime, then it is a square in ring of integers.

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#number-theory #algebraic-number-theory
87
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Using automorphic forms to classical results of (algebraic) number theory?

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#number-theory #reference-request #algebraic-number-theory #automorphic-forms
61
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Exact sequence of Riemann-Roch spaces and adeles

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#algebraic-geometry #field-theory #algebraic-number-theory #function-fields
291
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Topology on the Weil group $W_K$

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#algebraic-number-theory #topological-groups
54
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Definition of $\mathbb{Q}(\theta)$

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#abstract-algebra #ring-theory #field-theory #algebraic-number-theory
77
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Even Ideals in ring of integers of a number field

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#number-theory #field-theory #algebraic-number-theory
70
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Ramification of number fields and completion

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#commutative-algebra #algebraic-number-theory
115
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Étale extension of local fields

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#commutative-algebra #algebraic-number-theory
169
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Finding integral basis of $K=\Bbb Q(\theta)$

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#abstract-algebra #number-theory #modular-arithmetic #algebraic-number-theory #discriminant
142
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Is every sublattice of $O_K$ either an order or an ideal?

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#algebraic-number-theory #integer-lattices
99
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Ideal norm always super-multiplicative?

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#ring-theory #algebraic-number-theory #ideals #multiplicative-function
123
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proving properties for $ \mathbb{Z} [ \sqrt{-6} ] $

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#abstract-algebra #number-theory #algebraic-number-theory
106
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Transcendence degree of integral domain

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#abstract-algebra #algebraic-geometry #commutative-algebra #algebraic-number-theory
124
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Expression with Arithmetic Derivative (Math Olympiad)

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#number-theory #algebraic-number-theory #arithmetic
960
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discriminants in ring of integers

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#algebraic-number-theory #extension-field #class-field-theory #discriminant

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