Paul Jenkins, Grant Molnar
Published 2017-09-28Version 1
We prove Zagier duality between the Fourier coefficients of canonical bases for spaces of weakly holomorphic modular forms of prime level $p$ with $11 \leq p \leq 37$ with poles only at the cusp at $\infty$, and special cases of duality for an infinite class of prime levels. We derive generating functions for the bases for genus 1 levels.
Zagier duality and integrality for Fourier coefficients for weakly holomorphic modular forms
$p$-adic properties of coefficients of weakly holomorphic modular forms
On multiplicativity of Fourier coefficients at cusps other than infinity
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