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On primes not dividing binomial coefficients

Published online by Cambridge University Press:  24 October 2008

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

We prove that

thus dealing with open problems concerning divisors of binomial coefficients.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 113 , Issue 2 , March 1993 , pp. 225 - 232
Copyright
Copyright © Cambridge Philosophical Society 1993

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References

REFERENCES

[1]Baker, R. C.. Diophantine Inequalities (Clarendon Press, 1986).Google Scholar
[2]Erdös, P. and Graham, R. L.. Old and New Problems and Results in Combinatorial Number Theory (Enseignement Math., 1980).Google Scholar
[3]Erdös, P., Graham, R. L., Ruzsa, I. Z. and Straus, E. G.. On the prime factors of . Math. Comp. 29 (1975), 83–92.Google Scholar
[4]Jutila, M.. On the numbers with a large prime factor, II. J. Indian Math. Soc. 38 (1974), 125–130.Google Scholar
[5]Sander, J. W.. On a sum over primes, to appear.Google Scholar
[6]Sander, J. W.. Prime power divisors of binomial coefficients. J. Reine Angew. Math., 430 (1992), 1–20.Google Scholar
[7]Vinogradov, I. M.. The Method of Trigonometrical Sums in the Theory of Numbers (Interscience Publishers).Google Scholar