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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?

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Did you try Dickson's "Theory of Numbers"? – Péter Komjáth Apr 23 '13 at 5:08
...or Google: the first Google hit for glaisher wolstenholme is <>;, where on page 25 there are three references ([32] to [34]) to papers by Glaisher published in the Q.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
Thanks. I have added these references to the Wikipedia page. – Z.H. Apr 23 '13 at 9:09

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