Title	An explicit version of Chebotarevâ s density theorem
Creator	Das, Sourabh
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-05-02T14:20
Description	Chebotarevâ s density theorem asserts that the prime ideals are equidistributed over the conjugacy classes of Galois group of any given normal extensions of number fields. An effective version of this theorem was first proved by Lagarias and Odlyzko in 1977. In this talk, I will discuss a new explicit version of Lagarias and Odlyzkoâ s result on Chebotarevâ s density theorem. Some of the main ideas are deriving an explicit formula for the smooth version of a certain prime ideal counting function, and proving new bounds for the number of low-lying zeros for Hecke L-functions to estimate certain sums over the non-trivial zeros of the Dedekind Î¶-function. I will give an overview of how these ideas lead to a new explicit version.
Extent	22.0 minutes
Subject	Mathematics; Mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Lethbridge
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	10.14288/1.0394873
URI	http://hdl.handle.net/2429/76425
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos