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arXiv · 0706.0206

On a class number formula for real quadratic number fields

David M. Bradley·Ali E. Ozluk·C. Snyder
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Abstract

For an even Dirichlet character psi, we obtain a formula for L(1,psi) in terms of a sum of Dirichlet L-series evaluated at s=2 and s=3 and a rapidly convergent numerical series involving the central binomial coefficients. We then derive a class number formula for real quadratic number fields by taking L(s,psi) to be the quadratic L-series associated with these fields.

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David M. Bradley, Ali E. Ozluk, C. Snyder. 2007-06-03. On a class number formula for real quadratic number fields. https://arxiv.org/abs/0706.0206

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