Title	Value-Distribution of Cubic Hecke $L$-functions
Creator	Hamieh, Alia
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-12T09:48
Description	In this talk, we survey some recent results on the distribution of values of various families of $L$-functions in the critical strip. We also describe a value-distribution theorem for the logarithms and logarithmic derivatives of a family of $L$-functions attached to cubic Hecke characters. As a corollary we establish the existence of an asymptotic distribution function for the error term of the Brauer-Siegel asymptotic formula for a certain family of cubic extensions of $\mathbb{Q}(\sqrt{-3})$. We also deduce a similar result for the Euler-Kronecker constants of this family. This is joint work with Amir Akbary.
Extent	40.0 minutes
Subject	Mathematics; Number theory; Combinatorics; Arithmetic number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Northern British Columbia
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-11-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0385141
URI	http://hdl.handle.net/2429/72237
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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