Is the binomial coefficient $2n \choose n$ square free?

G Velammal (1)

1 IMSc - Institute of Mathematical Sciences [Chennai]

In this paper, we prove the Erd\"os conjecture that the binomial coefficient ${2n \choose n}$ is never square free, for all $n>4$.

Mots clés: Vaughan's identity; exponent pairs

Domaines: Mathématiques [math]

G Velammal. Is the binomial coefficient $2n \choose n$ square free?. Hardy-Ramanujan Journal, 1995, Volume 18 - 1995, pp.23 - 45. ⟨10.46298/hrj.1995.132⟩. ⟨hal-01108770⟩