Abstract by Grant Molnar
Level 11 Modular Forms
In analogy with earlier work by Duke and Jenkins, El-Guindy, and others, we present generators for spaces of weakly holomorphic modular forms of level 11. We also construct canonical bases for certain subspaces of level 11 weakly holomorphic modular forms in arbitrary weight, and provide generating functions for these bases, which are obtained by means of duality relationships between their coefficients. We also prove some divisibility results on the coefficients of weight 0 forms.