On Hilbert modular forms modulo \(p\): explicit ring structure

DOI10.4171/RMI/460zbMath1177.11039MaRDI QIDQ854557

Shoyu Nagaoka

Publication date: 5 December 2006

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1148492187

zbMATH Keywords

ring of Hilbert modular forms mod p

Mathematics Subject Classification ID

Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

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• On the ring of Hilbert modular forms over \(\mathbb Z\)
• On Hilbert modular forms with integral Fourier coefficients
• Note on mod \(p\) Siegel modular forms
• Lectures on Hilbert Modular Varieties and Modular Forms
• Theorems on the Finite Generation of Algebras of Modular Forms
• Hilbert modular forms modulo \(p^m\): The unramified case

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