Multiplicative $q$-hypergeometric series arising from real quadratic fields
Combinatorics
2008-12-24 v1 Number Theory
Abstract
Andrews, Dyson, and Hickerson showed that 2 -hypergeometric series, going back to Ramanujan, are related to real quadratic fields, which explains interesting properties of their Fourier coefficients. There is also an interesting relation of such series to automorphic forms. Here we construct more such examples arising from interesting combinatorial statistics.
Cite
@article{arxiv.0812.4397,
title = {Multiplicative $q$-hypergeometric series arising from real quadratic fields},
author = {Kathrin Bringmann and Ben Kane},
journal= {arXiv preprint arXiv:0812.4397},
year = {2008}
}