On Mordell's equation : a problem of Stolarsky

Author:
Ray P. Steiner

Journal:
Math. Comp. **46** (1986), 703-714

MSC:
Primary 11D25; Secondary 11-04, 11Y50

DOI:
https://doi.org/10.1090/S0025-5718-1986-0829640-3

MathSciNet review:
829640

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Abstract | References | Similar Articles | Additional Information

Abstract: On page 1 of his book Algebraic Numbers and Diophantine Approximation, K. B. Stolarsky posed the problem of solving the equation in positive integers. In the present paper we refine some techniques of Ellison and Pethö and show that the complete set of integer solutions of Stolarsky's equation is

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1986-0829640-3

Keywords:
Mordell's equation,
Ellison's method,
Davenport's lemma,
linear forms in logarithms,
Thue equations,
cubic fields

Article copyright:
© Copyright 1986
American Mathematical Society