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Bibliographic Details
Main Authors: Clayton, Archer, Jenkins, Paul
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.00173
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Table of Contents:
  • Griffin, the second author, and Molnar studied coefficient duality for canonical bases for a broad range of spaces of weakly holomorphic modular forms, showing that the Fourier coefficients of canonical basis elements appear as negatives of Fourier coefficients for elements of a canonical basis of a related space of forms. We investigate the effect of the trace operator on this duality for modular forms for $Γ_0(N)$ of genus zero and show exactly when duality still holds after applying the trace operator.