Hecke eigenform and double Eisenstein series
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- by Koji Tasaka PDF
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Abstract:
Cusp forms for the full modular group can be written as linear combinations of double Eisenstein series introduced by Gangl, Kaneko, and Zagier. We give an explicit formula for decomposing a Hecke eigenform into double Eisenstein series.References
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Additional Information
- Koji Tasaka
- Affiliation: School of Information Science and Technology, Aichi Prefectural University, Nagakute, Aichi, 480-1198, Japan
- MR Author ID: 994900
- Email: tasaka@ist.aichi-pu.ac.jp
- Received by editor(s): November 23, 2018
- Received by editor(s) in revised form: April 11, 2019
- Published electronically: July 9, 2019
- Additional Notes: This work was partially supported by JSPS KAKENHI Grant No. 18K13393.
- Communicated by: Amanda Folsom
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 53-58
- MSC (2010): Primary 11F11; Secondary 11F67, 11M32
- DOI: https://doi.org/10.1090/proc/14680
- MathSciNet review: 4042829