Two-divisibility of the Coefficients of Certain Weakly Holomorphic Modular Forms
نویسنده
چکیده
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 τ -function, and use this to prove that these Fourier coefficients are often highly divisible by 2.
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تاریخ انتشار 2011