In Wikipedia entry on Wolstenholme's theorem, it says

`The second formulation $\binom{ap}{bp}=\binom{a}{b}\pmod{p^3}$ of Wolstenholme's theorem is due to J. W. L. Glaisher.`

But there is no reference to it. Does anyone know which paper of J. W. L. Glaisher contains the above statement?

glaisher wolstenholmeis <arxiv.org/pdf/1111.3057.pdf>;, where on page 25 there are three references ([32] to [34]) to papers by Glaisher published in theQ.J.Math.in 1900 or 1901; the second of these ("On the residues of the sums of products of the first $p - 1$ numbers, and their powers, to modulus $p^2$ or $p^3$") seems particularly promising. – Noam D. Elkies Apr 23 '13 at 5:27