数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (1): 73-90.doi: 10.1007/s10473-022-0103-2

• 论文 • 上一篇    下一篇

FURTHER EXTENSIONS OF SOME TRUNCATED HECKE TYPE IDENTITIES

张文静   

  1. School of Mathematics, Hunan University, Changsha, 410082, China
  • 收稿日期:2020-09-04 修回日期:2021-05-31 出版日期:2022-02-25 发布日期:2022-02-24
  • 作者简介:Helen W. J. ZHANG,E-mail:helenzhang@hnu.edu.cn
  • 基金资助:
    Supported by the National Natural Science Foundation of China (11871370 and 12001182) and the Fundamental Research Funds for the Central Universities (531118010411).

FURTHER EXTENSIONS OF SOME TRUNCATED HECKE TYPE IDENTITIES

Helen W. J. ZHANG   

  1. School of Mathematics, Hunan University, Changsha, 410082, China
  • Received:2020-09-04 Revised:2021-05-31 Online:2022-02-25 Published:2022-02-24
  • Supported by:
    Supported by the National Natural Science Foundation of China (11871370 and 12001182) and the Fundamental Research Funds for the Central Universities (531118010411).

摘要: The main purpose of this paper is to generalize the study of the Hecke-Rogers type series, which are the extensions of truncated theorems obtained by Andrews, Merca, Wang and Yee. Our proofs rely heavily on the theory of Bailey pairs.

关键词: theta functions, truncated series, Bailey pair, Bailey transform

Abstract: The main purpose of this paper is to generalize the study of the Hecke-Rogers type series, which are the extensions of truncated theorems obtained by Andrews, Merca, Wang and Yee. Our proofs rely heavily on the theory of Bailey pairs.

Key words: theta functions, truncated series, Bailey pair, Bailey transform

中图分类号: 

  • 33D15