Real quadratic double sums

被引：6

作者：

Lovejoy, Jeremy ^{[1
]}

Osburn, Robert ^{[2
,3
]}

机构：

[1] Univ Paris 07, CNRS, LIAFA, F-75205 Paris 13, France

[2] Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland

[3] Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, France

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2015年 / 26卷 / 04期

基金：

美国国家科学基金会;

关键词：

Bailey pairs; Real quadratic fields; q-series; SERIES; FIELDS; FORMS;

D O I：

10.1016/j.indag.2015.06.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2015 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

引用

页码：697 / 712

页数：16

共 12 条

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