Quasimodular Siegel Modular Forms as P-Adic Modular Forms
DOI:
https://doi.org/10.5644/SJM.12.3.13Keywords:
Siegel modular forms, quasimodular forms, differential operators, Rankin-Cohen brackets, p-adic modular formsAbstract
There is a sophisticated theory of nearly holomorphic Siegel modular forms by Shimura. Using previous results by Nagaoka and myself on Rankin-Cohen operators and theta-operators we will present a proof that quasimodular forms (defined as constant terms or as holomorphic part of a nearly holomorphic Siegel modular form) are always p-adic.
* This paper was presented at the International Scientific Conference Graded structures in algebra and their applications, dedicated to the memory of Prof. Marc Krasner, IUCDubrovnik, Croatia, September, 22-24, 2016.
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References
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