| Use this URL to cite or link to this record in EThOS: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.511560 |
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| Title: | Modular and reciprocity approaches to a family of diophantine equations | ||||||
| Author: | Ibrahim, Mostafa |
ISNI:
0000 0004 2679 2739
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| Awarding Body: | University of Warwick | ||||||
| Current Institution: | University of Warwick | ||||||
| Date of Award: | 2009 | ||||||
| Availability of Full Text: |
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| Abstract: | |||||||
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In this thesis we study the Diophantine equation xp - Dy2p = z2; gcd(x; z) = 1; p prime: We combine two approaches: - The modular approach using in Wiles's proof of Fermat's Last Theorem. - Elementary quadratic reciprocity. We show how using this combination of approaches and computer calculations we can get congruence conditions for the exponent p.
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| Supervisor: | Not available | Sponsor: | Engineering and Physical Sciences Research Council (Great Britain) (EPSRC) | ||||
| Qualification Name: | Thesis (Ph.D.) | Qualification Level: | Doctoral | ||||
| EThOS ID: | uk.bl.ethos.511560 | DOI: | Not available | ||||
| Keywords: | QA Mathematics | ||||||
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