More on some Mock theta double sums

被引：2
|
作者：
Patkowski, Alexander E. [1 ]
机构：
[1] 1390 Bumps River Rd, Centerville, MA 02632 USA
来源：
ADVANCES IN APPLIED MATHEMATICS | 2019年 / 106卷
关键词：
Bailey pairs; Mock theta functions; q-Series; BAILEY PAIRS;
D O I：
10.1016/j.aam.2019.01.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We offer some further applications of some Bailey pairs related to some mock theta functions which were established in a recent study. We discuss and offer some double-sum q-series, with new relationships among mock theta functions. We also offer a new relationship between the Bailey pair of Bringmann and Kane with that of Andrews. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：20 / 27
页数：8
相关论文
共 50 条
  • [41] Several new product identities in relation to Rogers-Ramanujan type sums and mock theta functions
    Pascadi, Alexandru
    RESEARCH IN THE MATHEMATICAL SCIENCES, 2021, 8 (01)
  • [42] Generalizations of mock theta functions
    Cui, Su-Ping
    Gu, Nancy S. S.
    Su, Chen-Yang
    Xie, Matthew H. Y.
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2024, 20 (09) : 2395 - 2413
  • [43] On the Mathieu mock theta function
    Miezaki, Tsuyoshi
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2012, 88 (02) : 28 - 30
  • [44] MOCK MAASS THETA FUNCTIONS
    Zwegers, Sander P.
    QUARTERLY JOURNAL OF MATHEMATICS, 2012, 63 (03): : 753 - 770
  • [45] Double Exponential Sums and Some Applications
    Jie Wu
    Monatshefte für Mathematik, 1999, 128 : 255 - 262
  • [46] Double exponential sums and some applications
    Wu, J
    MONATSHEFTE FUR MATHEMATIK, 1999, 128 (03): : 255 - 262
  • [47] On some double Nahm sums of Zagier
    Cao, Zhineng
    Rosengren, Hjalmar
    Wang, Liuquan
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2024, 202
  • [48] ON CALCULATING SUMS OF SOME DOUBLE SERIES
    Kuzovatov, V. I.
    Bushkova, A. S.
    PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2024, 13 (03): : 56 - 63
  • [49] Bounds of some double exponential sums
    Bag, Nilanjan
    Shparlinski, Igor E.
    JOURNAL OF NUMBER THEORY, 2021, 219 : 228 - 236
  • [50] IDENTITIES INVOLVING MOCK THETA FUNCTIONS AND THETA FUNCTIONS
    Song, Hanfei
    Wang, Chun
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (07) : 3009 - 3022
12345