## On the lifting of Hilbert cusp forms to Hilbert-Hermitian cusp forms

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- by Shunsuke Yamana PDF
- Trans. Amer. Math. Soc.
**373**(2020), 5395-5438 Request permission

## Abstract:

We construct a lifting that associates to a Hilbert cusp form a Hilbert-Hermitian cusp form. This is a generalization of the lifting of elliptic cusp forms constructed by Ikeda to arbitrary Hilbert cusp forms.## References

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## Additional Information

**Shunsuke Yamana**- Affiliation: Advanced Mathematical Institute, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka 558-8585 Japan
- MR Author ID: 871756
- Email: yamana@sci.osaka-cu.ac.jp
- Received by editor(s): May 7, 2019
- Received by editor(s) in revised form: August 25, 2019
- Published electronically: May 28, 2020
- Additional Notes: The author is partially supported by JSPS Grant-in-Aid for Scientific Research (C) 18K03210 and (B) 19H01778

The author was partially supported by Osaka City University Advanced Mathematical Institute (MEXT Joint Usage/Research Center on Mathematics and Theoretical Physics). - © Copyright 2020 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**373**(2020), 5395-5438 - MSC (2010): Primary 11F11, 11F30, 11F55; Secondary 11F27, 11F70
- DOI: https://doi.org/10.1090/tran/8096
- MathSciNet review: 4127881