Divisibility properties of binomial coefficients
Author:
- K. R. McLeanKMK. R. McLean
- 1 March 1974
- journal article
- Published by Taylor & Francis in The Mathematical Gazette
- Vol. 58 (403) , 17-24
Abstract
In a very interesting recent article [1] W. A. Broomhead described an investigation carried out by staff and pupils at Tonbridge School of the patterns which result when the numbers in Pascal’s triangle are reduced modulo m . For the case when m equals a prime number, p , the pattern formed by the zeros in the reduced triangle (corresponding to binomial coefficients divisible p ) was completely described and the following result (stated by G. Gilbart-Smith) was proved: In the ( n + l)th row of Pascal’s triangle, there areKeywords
This publication has 2 references indexed in Scilit:
- Pascal (Mod p )The Mathematical Gazette, 1972
- Factors of Binomial CoefficientsThe Mathematical Gazette, 1959