Title	Large values of class numbers of real quadratic fields
Creator	Lamzouri, Youness
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-04-16T09:01
Description	Improving a result of Montgomery and Weinberger, we establish the existence of infinitely many real quadratic fields for which the class numbers are as large as possible. These values are achieved using a special family of fields, first studied by Chowla. In a subsequent work, joint with A. Dahl, we investigate the distribution of class numbers in Chowla’s family, and show a strong similarity between this distribution and that of class numbers of imaginary quadratic fields. As an application of our results, we determine the average order of the number of real quadratic fields in Chowla’s family with class number \(h\).
Extent	46 minutes
Subject	Mathematics; Number theory; Group theory and generalizations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: York University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-02-07
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0319152
URI	http://hdl.handle.net/2429/59462
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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