Preprint Article Version 1 This version is not peer-reviewed

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.

Journal reference: Symmetry 2017, 9, 314
DOI: 10.3390/sym9120314

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.

Subject Areas

Jacobian q-series; closed form lattice sums

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