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<p>In <i>q</i>-series, Hecke-type series have played an important role and received a lot of attention. In this paper, we give the Hecke-type double sums and triple sums for some universal mock theta functions by constructing new Bailey pairs. As applications, alternative Hecke-type representations for many of the classical mock theta functions and theta series are deduced.</p>

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Hecke-type representations for universal mock theta functions and applications

  • 期刊论文

  • 发表日期：

    2025年9月5日

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  • Hanfei Song,
  • Chun Wang,
  • Zhizheng Zhang

摘要

In q-series, Hecke-type series have played an important role and received a lot of attention. In this paper, we give the Hecke-type double sums and triple sums for some universal mock theta functions by constructing new Bailey pairs. As applications, alternative Hecke-type representations for many of the classical mock theta functions and theta series are deduced.