The p-adic Valuation of Eulerian Numbers: Trees and Bernoulli Numbers
نویسندگان
چکیده
In this work we explore the p-adic valuation of Eulerian numbers. We construct a tree whose nodes contain information about the p-adic valuation of these numbers. Using this tree, and some classical results for Bernoulli numbers, we compute the exact p divisibility for the Eulerian numbers when the first variable lies in a congruence class and p satisfies some regularity properties.
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ورودعنوان ژورنال:
- Experimental Mathematics
دوره 24 شماره
صفحات -
تاریخ انتشار 2015