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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
3
votes
A new generalisation of Fermat's little theorem?
In this paper (in Russian) : http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=mp&paperid=238&option_lang=eng
there are discussion of this result, including theorem of Gauss, generalization to …
0
votes
A definite integral of hypergeometric function 2F1
May be use the series for $_{2}F_{1}$ and then integrate term by term? The result looks like a sort of Appell-type function of two arguments: $x, 1-x$...