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Maass wave forms, quantum modular forms and Hecke operators

  • Seewoo LeeEmail author
Research
Part of the following topical collections:
  1. Modular Forms are Everywhere: Celebration of Don Zagier’s 65th Birthday

Abstract

We prove that Cohen’s Maass wave form and Li–Ngo–Rhoades’ Maass wave form are Hecke eigenforms with respect to certain Hecke operators. As a corollary, we find new identities of the pth coefficients of these Maass wave forms in terms of pth root of unity.

Notes

Acknowledgements

This is part of the author’s M.S. thesis paper. The author is grateful to his advisor Y. Choie for her helpful advice. The author is also grateful to J. Lovejoy for his comments via email.

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Copyright information

© SpringerNature 2018

Authors and Affiliations

  1. 1.University of California BerkeleyBerkeleyUSA

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