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arXiv · 2103.14773

A computable formula for the class number of the imaginary quadratic field $Q(\sqrt{-p}), \ p=4n-1$

Jorge Garcia
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Abstract

A formula for the class number $h$ of the imaginary quadratic field $Q(\sqrt{-p}$ is obtained by counting on a specific way the quadratic residues of a prime number of the form $p=4n-1.$ Formulas for the sum of the quadratic residues are also found.

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Jorge Garcia. 2021-03-27. A computable formula for the class number of the imaginary quadratic field $Q(\sqrt{-p}), \ p=4n-1$. https://doi.org/10.3934/era.2021065

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