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Title	Value-Distribution of Cubic Hecke $L$-functions
Creator	Alia Hamieh
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
Geographic Location	Banff (Alta.)
Type	Moving Image
FileFormat	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/
AggregatedSourceRepository	DSpace

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