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Prove a certain imaginary quadratic field contains three ideal classes.

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#number-theory #algebraic-number-theory #ideal-class-group
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Fact about sum of ideal classes in the ideal class group

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#ring-theory #algebraic-number-theory #ideal-class-group
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Motivation behind the definition of ideal class group

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#number-theory #algebraic-number-theory #ideal-class-group
245
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Non-Linear Forms for all Prime Numbers

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#number-theory #reference-request #prime-numbers #quadratic-forms #ideal-class-group
54
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Can anybody shed some light on the importance of the notion of compatibility of products of lattices in quaternion algebras?

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#quaternions #noncommutative-algebra #ideal-class-group
193
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Checking if a prime ideal is principal for a particular cubic field

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#number-theory #commutative-algebra #algebraic-number-theory #ideal-class-group
75
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How to show that an ideal is not principal in a generic number field

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#algebraic-number-theory #ideals #ideal-class-group
363
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Finding the order of the ideal class group

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#number-theory #ideal-class-group
75
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Primes Equidistribute in Ray Class Groups

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#number-theory #algebraic-number-theory #class-field-theory #ideal-class-group
151
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Dirichlet L-series inequality

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#analytic-number-theory #dirichlet-series #ideal-class-group
324
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Why do we use *fractional* ideals in construction of the class group?

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#number-theory #ring-theory #ideal-class-group
110
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Counting $S$-Integer Lattice Points

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#number-theory #algebraic-number-theory #ideal-class-group #geometry-of-numbers
499
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Relation between $S$-ideal class group and usual ideal class group

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#number-theory #algebraic-geometry #algebraic-number-theory #arithmetic-geometry #ideal-class-group
91
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The class number of $\mathbb{Q}(\sqrt{-3},\sqrt{5})$

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#algebraic-number-theory #ideal-class-group
260
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Is the class number of $K$ the number of factorizations an element of $\mathcal{O}_K$ can have?

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#ring-theory #algebraic-number-theory #ideal-class-group

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