Publication Date
2023
Document Type
Dissertation/Thesis
First Advisor
Thunder, Jeffery
Degree Name
Ph.D. (Doctor of Philosophy)
Legacy Department
Department of Mathematical Sciences
Abstract
In this dissertation we take a method developed by Schmidt to improve the classical version of the Minkowski-Hlawka Theorem and extend that to certain number fields. This leads to an analogous improvement to the adelic Minkowski-Hlawka Theorem in certain cases. We also demonstrate that the adelic version, even in the case where the number field is the field of rational numbers, is more general than the classical version.
Recommended Citation
Alnaser, Fatmah, "Improving The adelic Version of The Minkowski-Hlawka Theorem" (2023). Graduate Research Theses & Dissertations. 7299.
https://huskiecommons.lib.niu.edu/allgraduate-thesesdissertations/7299
Extent
44 pages
Language
eng
Publisher
Northern Illinois University
Rights Statement
In Copyright
Rights Statement 2
NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.
Media Type
Text