Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4672808 | Indagationes Mathematicae | 2015 | 16 Pages |
Abstract
In 1988, Andrews, Dyson and Hickerson initiated the study of qq-hypergeometric series whose coefficients are dictated by the arithmetic in real quadratic fields. In this paper, we provide a dozen qq-hypergeometric double sums which are generating functions for the number of ideals of a given norm in rings of integers of real quadratic fields and prove some related identities.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Jeremy Lovejoy, Robert Osburn,