Automorphic products that are singular modulo primes

DOI10.1007/s40993-023-00495-1arXiv2307.14222OpenAlexW4390052304MaRDI QIDQ6183523

Haowu Wang, Brandon Williams

Publication date: 4 January 2024

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.14222

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Other groups and their modular and automorphic forms (several variables) (11F55) Congruences for modular and (p)-adic modular forms (11F33) Jacobi forms (11F50)

Cites Work

• On mod \(p\) singular modular forms
• Note on Igusa's cusp form of weight 35
• On the theta operator for Hermitian modular forms of degree 2
• Modular forms on half-spaces of quaternions
• Automorphic forms with singularities on Grassmannians
• Differential operators on Jacobi forms of several variables.
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• On the mod \(p\) kernel of the theta operator and Eisenstein series
• On the kernel of the theta operator mod \(p\)
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• Theta operator on Hermitian modular forms over the Eisenstein field
• Congruence subgroups and orthogonal groups
• Higher pullbacks of modular forms on orthogonal groups
• On some free algebras of orthogonal modular forms
• Simple lattices and free algebras of modular forms
• On the mod $p$ kernel of the theta operator
• AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART II
• Igusa modular forms and 'the simplest' Lorentzian Kac-Moody algebras
• Congruence Relations for Siegel Modular Forms of Weight 47, 71, and 89
• Congruence relations satisfied by quaternionic modular forms

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