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SUMMARY:Non-vanishing of L-functions over function fields (Alexandra Florea\, UC Irvine)
DESCRIPTION:I will talk about some results concerning the non-vanishing of $L$-functions associated to fixed order characters $\ell$ at the central point over functions fields. Quadratic characters have been studied a lot over the years\, and very good non-vanishing results are available in this case\, due to work of Soundararajan. When focusing on cubic and higher order characters\, much less is known. In this talk\, I will explain how one can obtain a positive proportion of non-vanishing for any fixed order $\ell$ characters\, which goes to $0$ as $\ell$ goes to infinity. This is based on joint work with C. David and M. Lalin.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-alexandra-florea-uc-irvine/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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