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Remark on a conjecture of Erdős on binomial coefficients


Author: Andrzej Makowski
Journal: Math. Comp. 24 (1970), 705
MSC: Primary 10.10
DOI: https://doi.org/10.1090/S0025-5718-1970-0280437-3
MathSciNet review: 0280437
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Abstract: A conjecture attributed to Erdös concerning the Diophantine equation

$\displaystyle 2\left( {\begin{array}{*{20}{c}} {x + n - 1} \\ n \\ \end{array} ... ...ht) = \left( {\begin{array}{*{20}{c}} {y + n - 1} \\ n \\ \end{array} } \right)$

is shown to be false.

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1970-0280437-3
Keywords: Diophantine equation
Article copyright: © Copyright 1970 American Mathematical Society