On a class number formula for real quadratic number fields

Details On a class number formula for real quadratic number fields On a class number formula for real quadratic number fields

2007-06-03

arxiv.org/abs/0706.0206v1

Bulletin of the Australian Mathematical Society Vol. 65 (2002), no. 2, pp. 259--270. [MR 1898540] (2003a:11112)

Mathematics

Number Theory

12 pages AMSLaTeX

Scientific paper

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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