On the computation of the determinant of vector-valued Siegel modular forms

DOI10.1112/S146115701400028XzbMath1296.11043MaRDI QIDQ2878839

Sho Takemori

Publication date: 5 September 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

zbMATH Keywords

Siegel modular formdeterminantweightcusp form

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (1)

Vector-valued Siegel modular forms of weight det^k ⊗ Sym(8)

Cites Work

• An explicit dimension formula for the spaces of generalized automorphic forms with respect to \(\mathrm{Sp}(2, \mathbb Z)\)
• Vector valued Siegel's modular forms of degree two and the associated Andrianov \(L\)-functions
• On certain vector valued Siegel modular forms of degree two
• Zum Darstellungssatz für Siegelsche Modulformen
• RANKIN–COHEN TYPE DIFFERENTIAL OPERATORS FOR SIEGEL MODULAR FORMS
• SIMPLE GRADED RINGS OF SIEGEL MODULAR FORMS, DIFFERENTIAL OPERATORS AND BORCHERDS PRODUCTS
• Sturm type theorem for Siegel modular forms of genus 2 modulo p
• On Siegel Modular Forms of Genus Two

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