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The Exact Evaluation of Some New Lattice Sums

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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.
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