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On The Number of Binomial Coefficients Which are Divisible by Their Row Number: II

Published online by Cambridge University Press:  20 November 2018

Neville Robbins
Neville Robbins*
Affiliation:
Mathematics Department, San Francisco State UniversitySan Francisco, CA 94132
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Abstract

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If n is a natural number, let A(n) denote the number of integers, k, such that 0 < k < n and n divides . Let ϕ(n) denote Euler's totient function. Necessary and sufficient conditions are given so that A(n) = ϕ(n) when n is square-free.

Keywords

10A99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 28 , Issue 4 , 01 December 1985 , pp. 481 - 486
Copyright
Copyright © Canadian Mathematical Society 1985

References

1. Birkhoff, G.D. and Vandiver, H.S., On the integral divisors of an - bn , Ann. of Math. 5 (1904), pp. 173–180.Google Scholar
2. Erdös, P., (private communication).Google Scholar
3. Robbins, N., On the number of binomial coefficients which are divisible by their row number, Canad. Math. Bull. 25(3) (1982), pp. 363–365.Google Scholar