Jacobi Maaß forms

DOI10.1007/s12188-008-0013-9zbMath1225.11063OpenAlexW2162702978MaRDI QIDQ1032521

Ameya Pitale

Publication date: 26 October 2009

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12188-008-0013-9

zbMATH Keywords

Jacobi formsJacobi groupautomorphic representationMaaß forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Jacobi forms (11F50)

Related Items (16)

\({\mathrm {H}}\)-harmonic Maaß-Jacobi forms of degree 1 ⋮ Dirichlet series associated with square of class numbers of binary quadratic forms ⋮ A Voronoi summation formula for non-holomorphic Maass forms of half-integral weight ⋮ A MEAN VALUE RESULT FOR A PRODUCT OF GL(2) AND GL(3) ‐FUNCTIONS ⋮ Kohnen's limit process for real-analytic Siegel modular forms ⋮ Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms ⋮ Centers and characters of Jacobi group-invariant differential operator algebras ⋮ Periods of Jacobi forms and the Hecke operator ⋮ Petersson norms of not necessarily cuspidal Jacobi modular forms and applications ⋮ A converse theorem for Jacobi-Maass forms and applications ⋮ RANKIN–SELBERG CONVOLUTIONS OF NONCUSPIDAL HALF-INTEGRAL WEIGHT MAASS FORMS IN THE PLUS SPACE ⋮ Kac-Wakimoto characters and non-holomorphic Jacobi forms ⋮ On harmonic weak Maass forms of half integral weight ⋮ An explicit arithmetic formula for the Fourier coefficients of Siegel-Eisenstein series of degree two and square-free odd levels ⋮ Spectral decomposition of the cubic Casimir operator associated with Jacobi group ⋮ Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition

Cites Work

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• A converse theorem for Jacobi forms
• \(L\)-functions for Jacobi forms on \(\text{H} \times \mathbb{C}\)
• The theory of Jacobi forms
• Jacobi forms and discrete series representations of the Jacobi group
• Sur les coefficients de Fourier des formes modulaires de poids demi-entier
• Primitive vollprime Ideale in der Einhüllenden von \(\mathfrak {so}(5,\mathbb{C})\)
• Heegner points, cycles and Maass forms
• On the characterization of skew-holomorphic Jacobi-forms
• Maass-Jacobi forms over complex quadratic fields
• On modular forms of half integral weight
• Real analytic Eisenstein series for the Jacobi group
• The Saito-Kurokawa Space of PGSp4 and Its Transfer to Inner Forms
• Automorphic Forms on Adele Groups. (AM-83)
• On a conjecture of Duke-Imamoglu
• Correspondances de Shimura et quaternions
• Elements of the representation theory of the Jacobi group
• On the lifting of elliptic cusp forms to Siegel cusp forms of degree \(2n\)

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