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Title: Modular and reciprocity approaches to a family of diophantine equations
Author: Ibrahim, Mostafa
ISNI:       0000 0004 2679 2739
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 2009
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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.
Supervisor: Not available Sponsor: Engineering and Physical Sciences Research Council (Great Britain) (EPSRC)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics