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Remark on a conjecture of Erdős on binomial coefficients


Author: Andrzej Mąkowski
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 \[ 2\left ( {\begin {array}{*{20}{c}} {x + n - 1} \\ n \\ \end {array} } \right ) = \left ( {\begin {array}{*{20}{c}} {y + n - 1} \\ n \\ \end {array} } \right )\] is shown to be false.


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Keywords: Diophantine equation
Article copyright: © Copyright 1970 American Mathematical Society