Abstract

Let M^#_k(64) be the space of weakly holomorphic modular forms in level 64 and weight k which can have poles only at infinity, and let S^#_k(64) be the subspace of M^#_k(64) consisting of forms which vanish at all cusps other than infinity. We explicitly construct canonical bases for these spaces and show that the coefficients of these basis elements satisfy Zagier duality. We also compute the generating function for the canonical basis.

Degree

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

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