The p-adic valuation of Stirling numbers

by Ana Berrizbeitia, Luis A. Medina, Alexander C. Moll, Victor H. Moll, and Laine Noble

Journal for Algebra and Number Theory Academia, 1, 2010, 1-30. Note: Ana Berrizbeitia, Alexander Moll and Laine Noble were undergraduate students at the time this research was done.
Let p>2 be a prime. The p-adic valuation of Stirling numbers of the second kind is analyzed. Two type of trees diagrams that encode this information are introduced. Conditions that describe the infinite branching of these trees, similar to the case p=2, are presented.

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