2021arXiv (Cornell University)Open access

Counting extensions of imaginary quadratic fields

Bene\v{s}, Alexandr

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Abstract

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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What this paper is about

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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Available abstract

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

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