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Computing modular forms for the Weil representation
- Williams, Brandon
- Advisor(s): Borcherds, Richard
Abstract
We describe an algorithm to compute bases of modular forms with rational coefficients for the Weil representation associated to an even lattice. In large enough weights the forms we construct are zero-values of Jacobi forms of rational index, while in smaller weights our construction uses the theory of mock modular forms. The main application is in computing automorphic products.
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