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Zagier duality for level $p$ weakly holomorphic modular forms (1709.10023v2)
Published 28 Sep 2017 in math.NT
Abstract: We prove Zagier duality between the Fourier coefficients of canonical bases for spaces of weakly holomorphic modular forms of prime level $p$ with $11 \leq p \leq 37$ 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.
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