Preprint
Article

The Exact Evaluation of Some New Lattice Sums

This version is not peer-reviewed.

Submitted:

14 November 2017

Posted:

15 November 2017

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Abstract
New q-series in the spirit of Jacobi have been found in a publication rst published in 1884 written in Russian and translated into English in 1928. This work was found by chance and appears to be almost totally unknown. From these entirely new q-series, fresh lattice sums have been discovered and are presented here.
Keywords: 
Jacobian q-series; closed form lattice sums
Subject: 
Physical Sciences  -   Mathematical Physics
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.

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