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Document Type
Presentation
Location
Bryant Hall 209
Start Date
23-5-2019 4:00 PM
End Date
23-5-2019 5:00 PM
Description
Abstract: In the 1960's, Burgess proved a subconvexity bound for Dirichlet L-functions. However, the quality of this bound was not as strong, in terms of the conductor, as the classical Weyl bound for the Riemann zeta function. In a major breakthrough, Conrey and Iwaniec established the Weyl bound for quadratic Dirichlet L-functions. I will discuss recent work with Ian Petrow that generalizes the Conrey-Iwaniec bound for more general characters, in particular arbitrary characters of prime modulus.
Recommended Citation
Young, Matthew P., "The Weyl bound for Dirichlet L-functions" (2019). NSF-CBMS Conference: L-functions and Multiplicative Number Theory. 12.
https://egrove.olemiss.edu/cbms2019/2019/schedule/12
Included in
The Weyl bound for Dirichlet L-functions
Bryant Hall 209
Abstract: In the 1960's, Burgess proved a subconvexity bound for Dirichlet L-functions. However, the quality of this bound was not as strong, in terms of the conductor, as the classical Weyl bound for the Riemann zeta function. In a major breakthrough, Conrey and Iwaniec established the Weyl bound for quadratic Dirichlet L-functions. I will discuss recent work with Ian Petrow that generalizes the Conrey-Iwaniec bound for more general characters, in particular arbitrary characters of prime modulus.