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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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Remark on a conjecture of Erdős on binomial coefficients
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by Andrzej Mąkowski PDF
Math. Comp. 24 (1970), 705 Request permission

Abstract:

A conjecture attributed to Erdös concerning the Diophantine equation \[ 2\left ( {\begin {array}{*{20}{c}} {x + n - 1} \\ n \\ \end {array} } \right ) = \left ( {\begin {array}{*{20}{c}} {y + n - 1} \\ n \\ \end {array} } \right )\] is shown to be false.
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Additional Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Math. Comp. 24 (1970), 705
  • MSC: Primary 10.10
  • DOI: https://doi.org/10.1090/S0025-5718-1970-0280437-3
  • MathSciNet review: 0280437