Dirichlet L-series with real and complex characters and their application to solving double sums

Details Dirichlet L-series with real and complex characters and their application to solving double sums Dirichlet L-series with real and complex characters and their application to solving double sums

2007-08-09

arxiv.org/abs/0708.1224v1

Physics

Mathematical Physics

21 pages, 1 table

Scientific paper

10.1098/rspa.2007.0162

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.

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