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Document Type
Presentation
Location
Bryant Hall 209
Start Date
21-5-2019 4:00 PM
End Date
21-5-2019 5:00 PM
Description
Abstract: Moments of L-functions on the critical line (Re(s) = 1/2) have been extensively studied due to numerous applications, for example, bounds for L-functions, information on zeros of L-functions, and connections to the generalized Riemann hypothesis. However, the current understanding of higher moments is very limited. In this talk, I will give an overview how we can achieve asymptotic and bounds for higher moments by enlarging the size of various families of L-functions and show some techniques that are involved.
Recommended Citation
Chandee, Vorrapan, "High moments of L-functions" (2019). NSF-CBMS Conference: L-functions and Multiplicative Number Theory. 15.
https://egrove.olemiss.edu/cbms2019/2019/schedule/15
Chandee Video
Included in
High moments of L-functions
Bryant Hall 209
Abstract: Moments of L-functions on the critical line (Re(s) = 1/2) have been extensively studied due to numerous applications, for example, bounds for L-functions, information on zeros of L-functions, and connections to the generalized Riemann hypothesis. However, the current understanding of higher moments is very limited. In this talk, I will give an overview how we can achieve asymptotic and bounds for higher moments by enlarging the size of various families of L-functions and show some techniques that are involved.