On Hecke-type double-sums and general string functions for the affine Lie algebra $A_{1}^{(1)}$
Number Theory
2024-02-22 v1 Representation Theory
Abstract
We demonstrate how formulas that express Hecke-type double-sums in terms of theta functions and Appell--Lerch functions -- the building blocks of Ramanujan's mock theta functions -- can be used to give general string function formulas for the affine Lie algebra for levels .
Keywords
Cite
@article{arxiv.2110.02615,
title = {On Hecke-type double-sums and general string functions for the affine Lie algebra $A_{1}^{(1)}$},
author = {Eric T. Mortenson},
journal= {arXiv preprint arXiv:2110.02615},
year = {2024}
}
Comments
27 pages. arXiv admin note: text overlap with arXiv:2107.06225