Acta mathematica scientia,Series B ›› 2026, Vol. 46 ›› Issue (1): 119-130.doi: 10.1007/s10473-026-0108-3

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$\Gamma^{0}(2)$ MODULAR FORMS AND ANOMALY CANCELLATION FORMULAS

Siyao LIU1, Yong WANG2,*   

  1. 1. School of Mathematics and Statistics, Changchun University of Science and Technology, Changchun 130022, China;
    2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
  • Received:2024-06-17 Revised:2025-01-14 Online:2026-01-25 Published:2026-05-22
  • Contact: * Yong Wang, E-mail: wangy581@nenu.edu.cn
  • About author:Siyao Liu, E-mail: liusy719@nenu.edu.cn
  • Supported by:
    The corresponding author was supported by the NSFC (11771070).

Abstract: In the references [4, 11, 12], the authors gave some modular forms over $\Gamma^0(2).$ In this note, we proceed with the study of cancellation formulas relating to the modular forms.

Key words: modular invariance, cancellation formulas, $(a, b)$ type cancellation formulas

CLC Number: 

  • 58J20
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