AffiliationDepartment of Mathematics, University of Arizona
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CitationKeller, C. A., & Quinones, J. M. (2022). On the space of slow growing weak Jacobi forms. Journal of Number Theory.
JournalJournal of Number Theory
Rights© 2022 Elsevier Inc. All rights reserved.
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at email@example.com.
AbstractWeak Jacobi forms of weight 0 and index m can be exponentially lifted to meromorphic Siegel paramodular forms. It was recently observed that the Fourier coefficients of such lifts are then either fast growing or slow growing. In this note we investigate the space of weak Jacobi forms that lead to slow growth. We provide analytic and numerical evidence for the conjecture that there are such slow growing forms for any index m.
Note24 month embargo; available online: 29 March 2022
VersionFinal published version