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- Title
The Bloch–Okounkov theorem for congruence subgroups and Taylor coefficients of quasi-Jacobi forms.
- Authors
van Ittersum, Jan-Willem M.
- Abstract
There are many families of functions on partitions, such as the shifted symmetric functions, for which the corresponding q-brackets are quasimodular forms. We extend these families so that the corresponding q-brackets are quasimodular for a congruence subgroup. Moreover, we find subspaces of these families for which the q-bracket is a modular form. These results follow from the properties of Taylor coefficients of strictly meromorphic quasi-Jacobi forms around rational lattice points.
- Subjects
PARTITION functions; MODULAR forms; SYMMETRIC functions; CUSP forms (Mathematics); JACOBI forms; GEOMETRIC congruences
- Publication
Research in the Mathematical Sciences, 2022, Vol 10, Issue 1, p1
- ISSN
2522-0144
- Publication type
Article
- DOI
10.1007/s40687-022-00369-5