Dirichlet L-series with real and complex characters and their application to solving double sums
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
A description of the properties of \L with complex characters is given. By using these, together with the more familiar \L with real characters, it is shown how certain two dimensional lattice sums, which previously could not be put into closed form, may now be expressed in this way.
Cite
@article{arxiv.0708.1224,
title = {Dirichlet L-series with real and complex characters and their application to solving double sums},
author = {I. J. Zucker and R. C. McPhedran},
journal= {arXiv preprint arXiv:0708.1224},
year = {2009}
}
Comments
21 pages, 1 table