The tenth-order mock theta functions revisited

被引:5
|
作者
Zwegers, Sander [1 ]
机构
[1] Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland
关键词
RAMANUJANS LOST NOTEBOOK;
D O I
10.1112/blms/bdp127
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we consider the first four of the eight identities between the tenth-order mock theta functions, found in Ramanujan's lost notebook. These were originally proved by Choi. Here we give an alternative proof.
引用
收藏
页码:301 / 311
页数:11
相关论文
共 50 条
  • [31] ON IDENTITIES INVOLVING THE SIXTH ORDER MOCK THETA FUNCTIONS
    Lovejoy, Jeremy
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (07) : 2547 - 2552
  • [32] On diophantine approximations of mock theta functions of third order
    Matala-Aho, T
    Väänäanen, K
    RAMANUJAN JOURNAL, 2000, 4 (01): : 13 - 28
  • [33] COMBINATORICS OF SOME FIFTH AND SIXTH ORDER MOCK THETA FUNCTIONS
    Rana, Meenakshi
    Sharma, Shruti
    ELECTRONIC RESEARCH ARCHIVE, 2021, 29 (01): : 1803 - 1818
  • [34] Combinatorics of two second-order mock theta functions
    Burson, Hannah
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2021, 17 (02) : 285 - 295
  • [35] CONGRUENCES FOR SIXTH ORDER MOCK THETA FUNCTIONS λ(q) AND ρ(q)
    Kaur, Harman
    Rana, Meenakshi
    ELECTRONIC RESEARCH ARCHIVE, 2021, 29 (06): : 4257 - 4268
  • [36] ON THE 7TH ORDER MOCK THETA-FUNCTIONS
    HICKERSON, D
    INVENTIONES MATHEMATICAE, 1988, 94 (03) : 661 - 677
  • [37] A Note on Certain Properties of Mock Theta Functions of Order Eight
    Srivastava, Pankaj
    Wahidi, Anwar Jahan
    KYUNGPOOK MATHEMATICAL JOURNAL, 2014, 54 (02): : 249 - 262
  • [38] Identities involving partial mock theta functions of order five
    Srivastava, B
    RAMANUJAN JOURNAL, 2000, 4 (03): : 267 - 276
  • [39] IDENTITIES INVOLVING MOCK THETA FUNCTIONS AND THETA FUNCTIONS
    Song, Hanfei
    Wang, Chun
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (07) : 3009 - 3022
  • [40] Identities Involving Partial Mock Theta Functions of Order Five
    Bhaskar Srivastava
    The Ramanujan Journal, 2000, 4 : 267 - 276