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

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

2009-10-15

arxiv.org/abs/0910.2997v1

Mathematics

Number Theory

16 pages

Scientific paper

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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