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- W4300830661 abstract "We define Jacobi forms with complex multiplication. Analogous to modular forms with complex multiplication, they are constructed from Hecke characters of the associated imaginary quadratic field. From this construction we obtain a Jacobi form which specializes to $eta(tau)^{26}$ which we present to highlight an open question of Dyson and Serre. We give other examples and applications of Jacobi forms with complex multiplication including constructing theta blocks associated to elliptic curves with complex multiplication and new families of congruences and cranks for certain partition functions." @default.
- W4300830661 created "2022-10-04" @default.
- W4300830661 creator A5034810652 @default.
- W4300830661 date "2022-08-02" @default.
- W4300830661 modified "2023-09-23" @default.
- W4300830661 title "Jacobi forms with CM and applications" @default.
- W4300830661 doi "https://doi.org/10.48550/arxiv.2208.01807" @default.
- W4300830661 hasPublicationYear "2022" @default.
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