Zagier duality for level p weakly holomorphic modular forms
Abstract
We prove Zagier duality between the Fourier coefficients of canonical bases for spaces of weakly holomorphic modular forms of prime level p with 11 ≤ p ≤ 37 with poles only at the cusp at ∞, and special cases of duality for an infinite class of prime levels. We derive generating functions for the bases for genus 1 levels.
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