Acta mathematica scientia,Series B ›› 2022, Vol. 42 ›› Issue (1): 73-90.doi: 10.1007/s10473-022-0103-2

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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).

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

CLC Number: 

  • 33D15
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