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Perfect powers that are sums of consecutive like powers
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Patel, Vandita (2017) Perfect powers that are sums of consecutive like powers. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b3109633~S15
Abstract
This thesis is concerned with finding integer solutions to certain Diophantine equations. In doing so, we will use a variety of techniques. Unfortunately, we are not able to mention all of them - there are many techniques in solving Diophantine equations! Combining analytic methods with classic and modern algebraic approaches proves fruitful in a number of cases.
[Please refer to thesis for the rest of abstract]
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Number theory, Diophantine equations, Algebraic number theory | ||||
Official Date: | June 2017 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Siksek, Samir | ||||
Sponsors: | Engineering and Physical Sciences Research Council ; Max-Planck-Institut für Mathematik ; University of Warwick. Mathematics Institute | ||||
Format of File: | |||||
Extent: | ix, 90 leaves : illustrations | ||||
Language: | eng |
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