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An asymptotic formula for a-th powers dividing binomial coefficients
Published online by Cambridge University Press: 26 February 2010
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§1. Introduction. In 1985, Sárkõzy [11] proved a conjecture of Erdõs [2] by showing that the greatest square factor s(n)2 of the “middle” binomial coefficient satisfies for arbitrary ε > 0 and sufficiently large n
Where
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