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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.

 

The uniqueness of the Markoff numbers
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by Gerhard Rosenberger PDF
Math. Comp. 30 (1976), 361-365 Request permission

Abstract:

A Markoff triple is a set of three positive integers satisfying the diophantine equation ${x^2} + {y^2} + {z^2} = 3xyz$. The maximum of the three numbers is called a Markoff number. We show: If there are Markoff triples $({x_1},{y_1},z)$ and $({x_2},{y_2},z)$ with the same Markoff number z, then ${x_1} = {x_2}$ or ${x_1} = {y_2}$.
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Math. Comp. 30 (1976), 361-365
  • MSC: Primary 10C30; Secondary 10B10
  • DOI: https://doi.org/10.1090/S0025-5718-1976-0396413-1
  • MathSciNet review: 0396413