2013
DOI: 10.48550/arxiv.1305.0604
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On p-adic properties of Siegel modular forms

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“…Urban only treats the elliptic modular case in that paper, but I believe he and Skinner are working on applications of a more general theory. This work is related to a recent preprint [BoeNa13] by S. Boecherer and Shoyu Nagaoka where it is shown that Siegel modular forms of level Γ 0 (p m ) are p-adic modular forms. Moreover they show that derivatives of such Siegel modular forms are p-adic.…”
Section: Injecting Nearly-holomorphic Forms Into P-adic Modular Formsmentioning
confidence: 85%
“…Urban only treats the elliptic modular case in that paper, but I believe he and Skinner are working on applications of a more general theory. This work is related to a recent preprint [BoeNa13] by S. Boecherer and Shoyu Nagaoka where it is shown that Siegel modular forms of level Γ 0 (p m ) are p-adic modular forms. Moreover they show that derivatives of such Siegel modular forms are p-adic.…”
Section: Injecting Nearly-holomorphic Forms Into P-adic Modular Formsmentioning
confidence: 85%