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Slicing the stars: counting algebraic numbers Gunther, Joseph May 30, 2018
mp4
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Title | Slicing the stars: counting algebraic numbers |
Creator |
Gunther, Joseph |
Publisher | Banff International Research Station for Mathematical Innovation and Discovery |
Date Issued | 2018-05-30T10:18 |
Description | Masser and Vaaler gave an asymptotic formula for the number of algebraic numbers of given degree and increasing height. This problem was solved by counting lattice points in an expanding star body. We'll explain how to estimate the volumes of slices of star bodies, which allows one to count algebraic integers, algebraic integers of given norm and/or trace, and more. There will be pictures. This is joint work with Robert Grizzard. |
Extent | 27.0 |
Subject |
Mathematics Number theory Algebraic geometry Arithmetic number theory |
Geographic Location | Oaxaca (Mexico : State) |
Type |
Moving Image |
FileFormat | video/mp4 |
Language | eng |
Notes | Author affiliation: University of Wisconsin-Madison |
Series | BIRS Workshop Lecture Videos (Oaxaca (Mexico : State)) |
Date Available | 2019-03-14 |
Provider | Vancouver : University of British Columbia Library |
Rights | Attribution-NonCommercial-NoDerivatives 4.0 International |
DOI | 10.14288/1.0376869 |
URI | http://hdl.handle.net/2429/68703 |
Affiliation |
Non UBC |
Peer Review Status | Unreviewed |
Scholarly Level | Postdoctoral |
Rights URI | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
AggregatedSourceRepository | DSpace |
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https://iiif.library.ubc.ca/presentation/dsp.48630.1-0376869/manifest