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On a class number formula for real quadratic number fields

Published online by Cambridge University Press:  17 April 2009

David M. Bradley ,
Ali E. Özlük  and
C. Snyder
David M. Bradley
Affiliation:
Department of Mathematics and Statistics, University of Maine, Orono, Maine 04469, Unites States of America, e-mail: bradley@gauss.umemat.maine.edu, ozluk@gauss.umemat.maine.edu, snyder@gauss.umemat.maine.edu
Ali E. Özlük
Affiliation:
Department of Mathematics and Statistics, University of Maine, Orono, Maine 04469, Unites States of America, e-mail: bradley@gauss.umemat.maine.edu, ozluk@gauss.umemat.maine.edu, snyder@gauss.umemat.maine.edu
C. Snyder
Affiliation:
Department of Mathematics and Statistics, University of Maine, Orono, Maine 04469, Unites States of America, e-mail: bradley@gauss.umemat.maine.edu, ozluk@gauss.umemat.maine.edu, snyder@gauss.umemat.maine.edu
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 2 , April 2002 , pp. 259 - 270
Copyright
Copyright © Australian Mathematical Society 2002

References

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