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On a class number formula for real quadratic number fields
Published online by Cambridge University Press: 17 April 2009
Abstract
For an even Dirichlet character ψ, we obtain a formula for L (1, ψ) 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, ψ) to be the quadratic L-series associated with these fields.
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- Copyright © Australian Mathematical Society 2002
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