Solvability of ternary equations of signature (3,3,2)

Resource type
Thesis type
(Thesis) M.Sc.
Date created
2014-08-11
Authors/Contributors
Abstract
In this thesis we examine the primitive solvability of Diophantine equations of the form ax^3 + by^3 = cz^2. For square-free a, b, c, we identify various criteria necessary for the existence of primitive solutions, including a sufficient one. We also present a relatively efficient algorithm to determine whether this criterion is satisfied. Using the algorithm, we compute some data on the relative distribution of the occurrence of various obstructions to the existence of primitive solutions.
Document
Identifier
etd8509
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The author granted permission for the file to be printed and for the text to be copied and pasted.
Scholarly level
Supervisor or Senior Supervisor
Thesis advisor: Bruin, Nils
Member of collection
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etd8509_PMcmahon.pdf 1.21 MB