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.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Vander Wilt, Christopher William, "Weakly Holomorphic Modular Forms in Level 64" (2017). All Theses and Dissertations. 6483.
weakly holomorphic modular forms, Zagier duality