Is the binomial coefficient $2n \choose n$ square free?
Authors: G Velammal
In this paper, we prove the Erdös conjecture that the binomial coefficient ${2n \choose n}$ is never square free, for all $n>4$.
Volume: Volume 18
Published on: January 1, 1995
Submitted on: March 3, 2015
Keywords: exponent pairs,Vaughan's identity,[MATH] Mathematics [math]