Real quadratic double sums
|Title:||Real quadratic double sums||Authors:||Lovejoy, Jeremy
|Permanent link:||http://hdl.handle.net/10197/7874||Date:||Aug-2015||Abstract:||In 1988, Andrews, Dyson and Hickerson initiated the study of q-hypergeometric series whose coefficients are dictated by the arithmetic in real quadratic fields. In this paper, we provide a dozen q-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.||Type of material:||Journal Article||Publisher:||Elsevier||Copyright (published version):||2015 Royal Dutch Mathematical Society||Keywords:||Bailey pairs; Real quadratic fields; Q-series||DOI:||10.1016/j.indag.2015.06.002||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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