Expressing q-series in terms of building blocks of Hecke-type double-sums

被引：0

作者：

Mortenson, Eric T. ^{[1
]}

Sahu, Ankit ^{[1
]}

机构：

[1] St Petersburg State Univ, Dept Math & Comp Sci, St Petersburg 199178, Russia

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2023年 / 19卷 / 06期

关键词：

Hecke-type double-sums; indefinite theta series; Appell functions; mock theta functions; theta functions; THETA-FUNCTIONS;

D O I：

10.1142/S1793042123500707

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We express recent double-sums studied by Wang, Yee, and Liu in terms of two types of Hecke-type double-sum building blocks. When possible we determine the (mock) modularity. We also express a recent q-hypergeometric function of Andrews as a mixed mock modular form.

引用

页码：1429 / 1451

页数：23

共 9 条

[1] On Hecke-type double-sums and general string functions for the affine Lie algebra A1(1)
Mortenson, Eric T.
RAMANUJAN JOURNAL, 2024, 63 (03) : 553 - 582
[2] Eulerian series as Hecke-type double sums through the transformation formulas
Hao, Li-Jun
Xu, Liang-Liang
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2024, 20 (09) : 2415 - 2451
[3] Hecke-type double sums and the Bailey transform
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Du, Hai-Xing
Gu, Nancy S. S.
Wang, Liuquan
RAMANUJAN JOURNAL, 2024, 65 (02) : 959 - 983
[4] HECKE-TYPE DOUBLE SUMS AND MOCK THETA FUNCTIONS
Cui , Su-Ping
Du , Hai-Xing
Gu , Nancy S. S.
COLLOQUIUM MATHEMATICUM, 2023, 172 (02) : 191 - 215
[5] Ramanujan’s 1ψ1 summation, Hecke-type double sums, and Appell–Lerch sums
Eric Mortenson
The Ramanujan Journal, 2012, 29 : 121 - 133
[6] On three third order mock theta functions and Hecke-type double sums
Mortenson, Eric
RAMANUJAN JOURNAL, 2013, 30 (02) : 279 - 308
[7] On three third order mock theta functions and Hecke-type double sums
Eric Mortenson
The Ramanujan Journal, 2013, 30 : 279 - 308
[8] Ramanujan's 1 ψ 1 summation, Hecke-type double sums, and Appell-Lerch sums
Mortenson, Eric
RAMANUJAN JOURNAL, 2012, 29 (1-3) : 121 - 133
[9] On Hecke-type double-sums and general string functions for the affine Lie algebra A1(1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A_{1}^{(1)}$$\end{document}
Eric T. Mortenson
The Ramanujan Journal, 2024, 63 (3) : 553 - 582

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