Isomorphism of Skew-Holomorphic Harmonic Maass-Jacobi Forms and Certain\n Weak Harmonic Maass Forms

2020/11/15 by Ranveer Kumar Singh, Singh, Ranveer Kumar
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2011.07540

openalex publication_date 2020/11/15 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

Recently Bringmann, Raum and Richter generalised the definition of Jacobi\nforms and Skoruppa's skew-holomorphic Jacobi forms by intertwining with\nharmonic Maass forms. We prove the isomorphism of the Kohnen's plus space\nanalogue of harmonic Maass forms of weight k-1/2 for \Γ₀(4m) and the\nspace of these skew-holomorphic harmonic Maass-Jacobi forms of weight k and\nindex m for k odd and m=1 or a prime.\n

Citations

• Mock Theta Functions
• On harmonic weak Maass forms of half integral weight
• On two geometric theta lifts

Related

• The skew-Maass lift I
• Kohnen's limit process for real-analytic Siegel modular forms
• On harmonic weak Maass forms of half integral weight
• Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition
• Pairings of harmonic Maass-Jacobi forms involving special values of partial L-functions