V. Vinay Kumaraswamy
Abstract
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Let $h(-n)$ be the class number of the imaginary quadratic field with fundamental discriminant $-n$. We establish an asymptotic formula for correlations involving $h(-n)$ and $h(-n-l)$, over fundamental discriminants that avoid the congruence class $
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Let $h(-n)$ be the class number of the imaginary quadratic field with fundamental discriminant $-n$. We establish an asymptotic formula for correlations involving $h(-n)$ and $h(-n-l)$, over fundamental discriminants that avoid the congruence class $
Key concepts: Mathematics, Discriminant, Class number, Quadratic equation, The Imaginary, Congruence (geometry), Class field theory, Quadratic field