The Maaß-space on the half-space of quaternions of degree 2

DOI10.1007/BF01456995zbMath0613.10027MaRDI QIDQ1088711

Aloys Krieg

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164230

zbMATH Keywords

modular formsquaternionsFourier-Jacobi expansionelliptic modular formsMaaß spaceMaaß Spezialschar

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11)

Related Items (16)

Quaternionic theta constants ⋮ THETA SERIES OVER THE HURWITZ QUATERNIONS ⋮ Hecke operators with respect to the modular group of quaternions ⋮ Congruence relations satisfied by quaternionic modular forms ⋮ Kocher-Maaß-series for modular forms of quaternions ⋮ The Maaß space for Cayley numbers ⋮ The Fourier-Jacobi functions of n ⋮ The Fourier-Jacobi functions of n ⋮ On the lifting of elliptic cusp forms to cusp forms on quaternionic unitary groups ⋮ The Maaß space and Hecke operators ⋮ Hyperbolic Weyl groups and the four normed division algebras ⋮ On explicit isomorphisms of spaces of Jacobi forms of lattice-index ⋮ The Maaß space on the Hermitian half-space of degree 2 ⋮ Restrictions of Jacobi Forms of Several Variables ⋮ The graded ring of quaternionic modular forms of degree 2 ⋮ The Maaß-space on the half-plane of Cayley numbers of degree two

Cites Work

• Modular descent and the Saito-Kurokawa conjecture
• The theory of Jacobi forms
• Modular forms on half-spaces of quaternions
• An arithmetic of Hermitian modular forms of degree two
• Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two
• Über eine Spezialschar von Modulformen zweiten Grades. II, III. (On a Spezialschar of modular forms of second degree. II, III)
• Hecke operators with respect to the modular group of quaternions

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