Theta operator on Hermitian modular forms over the Eisenstein field

DOI10.1007/s11139-018-0111-yzbMath1460.11061arXiv1806.10326OpenAlexW2963573056WikidataQ128184812 ScholiaQ128184812MaRDI QIDQ1987612

Shoyu Nagaoka, Sho Takemori

Publication date: 15 April 2020

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10326

zbMATH Keywords

congruences for modular formsHermitian modular formsmod \(p\) modular forms

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Congruences for modular and (p)-adic modular forms (11F33)

Related Items (3)

Automorphic products that are singular modulo primes ⋮ A ring of symmetric Hermitian modular forms of degree 2 with integral Fourier coefficients ⋮ Structure of Hermitian modular forms modulo \(p\) and some applications

Cites Work

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• Hermitian quadratic forms and Hermitian modular forms
• Graded rings of Hermitian modular forms of degree 2
• On the mod \(p\) kernel of the theta operator and Eisenstein series
• On the kernel of the theta operator mod \(p\)
• On mod \(p\) properties of Siegel modular forms
• Sturm bounds for Siegel modular forms of degree 2 and odd weights
• Igusa modular forms and 'the simplest' Lorentzian Kac-Moody algebras

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