Zagier duality for level $p$ weakly holomorphic modular forms
Number Theory
2018-02-12 v2
Abstract
We prove Zagier duality between the Fourier coefficients of canonical bases for spaces of weakly holomorphic modular forms of prime level with 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.
Keywords
Cite
@article{arxiv.1709.10023,
title = {Zagier duality for level $p$ weakly holomorphic modular forms},
author = {Paul Jenkins and Grant Molnar},
journal= {arXiv preprint arXiv:1709.10023},
year = {2018}
}