Geodesic
Wolstenholme's theorem for binomial coefficients
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 460-463

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We prove that the numerator of $\sum_{i=k}^{p-1}\binom{i}{k}^{-1}$ is divisible by $p^2$ for infinitely many primes $p$ if and only if $k=1$.
Keywords: Wolstenholme's theorem.
Mots-clés : binomial coefficient 
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     author = {A. S. Dzhumadil'daev and D. A. Yeliussizov},
     title = {Wolstenholme's theorem for binomial coefficients},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {460--463},
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     volume = {9},
     year = {2012},
     language = {en},
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}
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A. S. Dzhumadil'daev; D. A. Yeliussizov. Wolstenholme's theorem for binomial coefficients. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 460-463. http://geodesic.mathdoc.fr/item/SEMR_2012_9_a8/