Year: 2008
Type: preprint
Abstract: Andrews, Dyson, and Hickerson showed that 2 $q$-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.
Source: arXiv (Cornell University)
Authors: Bringmann, Kathrin, Kane, Ben
Institutions: University of Cologne, Radboud University Nijmegen
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2951575656