Real quadratic double sums

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Title: Real quadratic double sums
Authors: Lovejoy, Jeremy
Osburn, Robert
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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 pairsReal quadratic fieldsQ-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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