On a class number formula for real quadratic number fields
Number Theory
2007-06-05 v1
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.
Cite
@article{arxiv.0706.0206,
title = {On a class number formula for real quadratic number fields},
author = {David M. Bradley and Ali E. Ozluk and C. Snyder},
journal= {arXiv preprint arXiv:0706.0206},
year = {2007}
}