Weak Harmonic Maaß Forms and the Principal Series for $$SL(2, \mathbb{R})$$

DOI10.1007/978-1-4614-7193-6_9zbMath1281.32018OpenAlexW496519088MaRDI QIDQ2871399

Stephanie Treneer, Peter J. Kostelec, Dorothy I. Wallace

Publication date: 23 January 2014

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-7193-6_9

zbMATH Keywords

automorphic formsmodular formsrepresentation theoryBessel functions\(\mathrm{SL}(2,\mathbb R)\)weak harmonic Maaß forms

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Automorphic forms in several complex variables (32N10)

Cites Work

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• Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues
• Dyson's ranks and Maass forms
• On two geometric theta lifts
• Modular forms associated to closed geodesics and arithmetic applications
• Automorphic Forms on Adele Groups. (AM-83)

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