Harmonic Maass-Jacobi forms of degree 1 with higher rank indices
Journal article, 2016
We define and investigate real analytic weak Jacobi forms of degree 1 and arbitrary rank. En route we calculate the Casimir operator associated to the maximal central extension of the real Jacobi group, which for rank exceeding 1 is of order 4. In ranks exceeding 1, the notions of H-harmonicity and semi-holomorphicity are the same.
skew-holomorphic Jacobi forms
Semi-holomorphic Jacobi forms
casimir-operators
complex quadratic fields
Mathematics
xi-
modular-forms
invariant differential operators
Author
C. H. Conley
University of North Texas
Martin Raum
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
International Journal of Number Theory
1793-0421 (ISSN) 17937310 (eISSN)
Vol. 12 7 1871-1897Subject Categories
Mathematics
DOI
10.1142/s1793042116501165