Document Type
Presentation
Location
Bryant Hall 209
Start Date
21-5-2019 2:30 PM
End Date
21-5-2019 3:30 PM
Description
Abstract: I will talk about some recent work with Chantal David and Matilde Lalin about the mean value of L-functions associated to cubic characters over F_q[t] when q=1 (mod 3). I will explain how to obtain an asymptotic formula which relies on obtaining cancellation in averages of cubic Gauss sums over functions fields. I will also talk about the corresponding non-Kummer case when q=2 (mod 3) and I will explain why this setting is somewhat easier to handle than the Kummer case, which allows us to prove some better results.
Recommended Citation
Florea, Alexandra, "Moments of cubic L-functions over function fields" (2019). NSF-CBMS Conference: L-functions and Multiplicative Number Theory. 14.
https://egrove.olemiss.edu/cbms2019/2019/schedule/14
Included in
Moments of cubic L-functions over function fields
Bryant Hall 209
Abstract: I will talk about some recent work with Chantal David and Matilde Lalin about the mean value of L-functions associated to cubic characters over F_q[t] when q=1 (mod 3). I will explain how to obtain an asymptotic formula which relies on obtaining cancellation in averages of cubic Gauss sums over functions fields. I will also talk about the corresponding non-Kummer case when q=2 (mod 3) and I will explain why this setting is somewhat easier to handle than the Kummer case, which allows us to prove some better results.