Notes on theta series for Niemeier lattices

DOI10.1007/s11139-015-9720-xzbMath1422.11104arXiv1504.06715OpenAlexW2964350631MaRDI QIDQ513365

Shoyu Nagaoka, Sho Takemori

Publication date: 6 March 2017

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

Full work available at URL: https://arxiv.org/abs/1504.06715

zbMATH Keywords

theta seriesSiegel modular formscongruences for modular forms

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Congruences for modular and (p)-adic modular forms (11F33)

Related Items (7)

Notes on theta series for Niemeier lattices. II ⋮ 3D string theory and Umbral moonshine ⋮ Some congruences for Siegel theta series ⋮ On \(p\)-divisibility of Fourier coefficients of Siegel modular forms ⋮ On the mod \(p\) kernel of the theta operator and Eisenstein series ⋮ Theta operator on Hermitian modular forms over the Eisenstein field ⋮ On the theta operator for Hermitian modular forms of degree 2

Cites Work

• Unnamed Item
• On mod \(p\) singular modular forms
• Sturm bounds for Siegel modular forms
• Some congruences for Siegel theta series
• On Siegel modular forms of level \(p\) and their properties mod \(p\)
• Table of the Fourier coefficients of Eisenstein series of degree 3
• On mod \(p\) properties of Siegel modular forms
• Dimensions of spaces of level one automorphic forms for split classical groups using the trace formula
• On the Ring of Modular Forms of Degree Two Over Z
• NUMERICAL EXAMPLES OF SIEGEL CUSP FORMS OF DEGREEE 3 AND THEIR ZETA-FUNCTIONS
• An explicit formula for the Fourier coefficients of Siegel-Eisenstein series of degree 3

This page was built for publication: Notes on theta series for Niemeier lattices