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Abstract For any positive integer k and prime p, we define an explicit set A k , p of positive integers n, having positive upper and lower density, on which… Click to show full abstract
Abstract For any positive integer k and prime p, we define an explicit set A k , p of positive integers n, having positive upper and lower density, on which the p-adic valuation of the Stirling number of the first kind s ( n + 1 , k + 1 ) is a nondecreasing function of n and is given exactly by a simple formula. This is motivated by, and extends, some recent results of Lengyel.
Keywords:
exact adic;
kind;
stirling numbers;
valuations stirling;
adic valuations;
first kind
Journal Title: Journal of Number Theory
Year Published: 2017
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Journal Title: Journal of Number Theory
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!