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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Computation of the solution of $x^{3}+Dy^{3}=1$
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by H. C. Williams and R. Holte PDF
Math. Comp. 31 (1977), 778-785 Request permission

Abstract:

A computer technique for finding integer solutions of \[ {x^3} + D{y^3} = 1\] is described, and a table of all integer solutions of this equation for all positive $D \leqslant 50000$ is presented. Some theoretic results which describe certain values of D for which the equation has no nontrivial solution are also given.
References
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  • Ernst S. Selmer, The Diophantine equation $ax^3+by^3+cz^3=0$, Acta Math. 85 (1951), 203–362 (1 plate). MR 41871, DOI 10.1007/BF02395746
  • H. C. Williams and C. R. Zarnke, Computation of the solutions of the Diophantine equation $x^{3}+dy^{3}=1$, Proceedings of the Manitoba Conference on Numerical Mathematics (Univ. Manitoba, Winnipeg, Man., 1971) Dept. Comput. Sci., Univ. Manitoba, Winnipeg, Man., 1971, pp. 671–676. MR 0332630
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Math. Comp. 31 (1977), 778-785
  • MSC: Primary 10B10
  • DOI: https://doi.org/10.1090/S0025-5718-1977-0434946-0
  • MathSciNet review: 0434946