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arXiv:1105.0684 [math.NT]AbstractReferencesReviewsResources

Two-divisibility of the coefficients of certain weakly holomorphic modular forms

Darrin Doud, Paul Jenkins, John Lopez

Published 2011-05-03, updated 2011-07-29Version 2

We study a canonical basis for spaces of weakly holomorphic modular forms of weights 12, 16, 18, 20, 22, and 26 on the full modular group. We prove a relation between the Fourier coefficients of modular forms in this canonical basis and a generalized Ramanujan tau-function, and use this to prove that these Fourier coefficients are often highly divisible by 2.

Comments: Corrected typos. To appear in the Ramanujan Journal
Journal: The Ramanujan Journal 28 (2012), no. 1, 89-111
Categories: math.NT
Subjects: 11F33, 11F11
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