$p$-adic properties of coefficients of weakly holomorphic modular forms

Darrin Doud; Paul Jenkins

doi:10.1093/imrn/rnp240

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arXiv · 0910.2997

$p$-adic properties of coefficients of weakly holomorphic modular forms

Darrin Doud·Paul Jenkins

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Abstract

We examine the Fourier coefficients of modular forms in a canonical basis for the spaces of weakly holomorphic modular forms of weights 4, 6, 8, 10, and 14, and show that these coefficients are often highly divisible by the primes 2, 3, and 5.

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Darrin Doud, Paul Jenkins. 2009-10-15. $p$-adic properties of coefficients of weakly holomorphic modular forms. https://doi.org/10.1093/imrn%2Frnp240

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