Amanda FolsomAffiliation: Amherst College Email: afolsom@amherst.edu Title Of Talk: Zeros of modular forms of half integral weight Abstract: We study canonical bases for spaces of weakly holomorphic modular forms of level $4$ and weights in $\mathbb{Z} + \frac{1}{2}$, and show that almost all modular forms in these bases have the property that many of their zeros in a fundamental domain for $\Gamma_0(4)$ lie on a lower boundary arc. We also give applications to the mock modular generating function for Hurwitz class numbers, and to the simultaneous nonvanishing of associated cusp form coefficients. This is joint work with Paul Jenkins (Brigham Young University). WARNING: This page contains MATHJAX
Last update made Wed Jan 20 12:00:12 PST 2016.
