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The Exact Evaluation of Some New Lattice Sums
Version 1
: Received: 14 November 2017 / Approved: 15 November 2017 / Online: 15 November 2017 (04:17:09 CET)
A peer-reviewed article of this Preprint also exists.
Zucker, I.J. The Exact Evaluation of Some New Lattice Sums. Symmetry 2017, 9, 314. Zucker, I.J. The Exact Evaluation of Some New Lattice Sums. Symmetry 2017, 9, 314.
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 is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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