Counting extensions of imaginary quadratic fields
Bene\v{s}, Alexandr
Abstract
Open-access reader
Bene\v{s}, Alexandr
Abstract
Open-access reader
The goal is to obtain an asymptotic formula for the number of quadratic extensions with bounded discriminant of a some quadratic number field with odd class number. This extends an already known result for Q.
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The goal is to obtain an asymptotic formula for the number of quadratic extensions with bounded discriminant of a some quadratic number field with odd class number. This extends an already known result for Q.
Key concepts: Discriminant, Quadratic equation, Bounded function, Mathematics, Quadratic field, Class (philosophy), The Imaginary, Binary quadratic form