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Distribution of values of $L$-functions in the critical strip - Function Field version Lumley, Allysa

Description

Let $q\equiv 1 \pmod 4$ be a prime power. Consider $D$ to be a square-free monic polynomial over $\mathbb{F}_q[T]$ and $\chi_D$ the Kronecker symbol associated to $D$. In this talk we will discuss the distribution of large values for $L(\sigma,\chi_D)$ for $1/2< \sigma \le 1$. We will note the expected similarities to the situation over quadratic extensions of $\mathbb{Q}$ and the surprising differences.

Item Metadata

Title
Distribution of values of $L$-functions in the critical strip - Function Field version
Creator
Lumley, Allysa
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2020-05-02T11:30
Description
Let $q\equiv 1 \pmod 4$ be a prime power. Consider $D$ to be a square-free monic polynomial over $\mathbb{F}_q[T]$ and $\chi_D$ the Kronecker symbol associated to $D$. In this talk we will discuss the distribution of large values for $L(\sigma,\chi_D)$ for $1/2< \sigma \le 1$. We will note the expected similarities to the situation over quadratic extensions of $\mathbb{Q}$ and the surprising differences.
Extent
33.0 minutes
Subject
Mathematics; Mathematics
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: York University
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2020-10-30
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0394878
URI
http://hdl.handle.net/2429/76430
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Graduate
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International