Affiliation: University of Hawaii
Title Of Talk: Half-integral weigh $p$-adic coupling
Abstract: For a weakly holomorphic Hecke eigenform of even integral weight, one applies Atkin's $U$-operator repeatedly. The $p$-adic limit exists as a $q$-series and can be identified with a certain holomorphic Hecke eigenform. We present a parallel result which requires a very different proof for a half-integral weight eigenform. This is a joint project with K. Bringmann and B. Kane.
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Last update made Thu Feb 11 08:27:48 PST 2016.