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<p>The Rogers–Ramanujan type identities have been extensively studied. For example, Cao–Rosengren–Wang, Nahm, Wang, Zagier et al. investigated modular basic hypergeometric series. In this paper, by utilizing two-variable Rogers–Ramanujan type identities and Rosengren’s integral method for the Kanade–Russell identities, we establish some multi-sum Rogers–Ramanujan type identities with one parameter which are related to modular functions.</p>

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Some multi-sum Rogers–Ramanujan type identities with one parameter

  • 期刊论文

  • 发表日期：

    2025年7月31日

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  • Su-Ping Cui,
  • Julia Q. D. Du

摘要

The Rogers–Ramanujan type identities have been extensively studied. For example, Cao–Rosengren–Wang, Nahm, Wang, Zagier et al. investigated modular basic hypergeometric series. In this paper, by utilizing two-variable Rogers–Ramanujan type identities and Rosengren’s integral method for the Kanade–Russell identities, we establish some multi-sum Rogers–Ramanujan type identities with one parameter which are related to modular functions.