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An asymptotic formula for a-th powers dividing binomial coefficients

Part of: Sequences and sets

Published online by Cambridge University Press:  26 February 2010

J. W. Sander
J. W. Sander
Affiliation:
Institut für Mathematik, Universität Hannover, Welfengarten 1, 3000 Hannover 1, Germany.
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Extract

§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

MSC classification

Secondary: 11B65: Binomial coefficients; factorials; $q$-identities
Type
Research Article
Information
Mathematika , Volume 39 , Issue 1 , June 1992 , pp. 25 - 36
Copyright
Copyright © University College London 1992

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References

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