The 2-adic valuations of Stirling numbers
Tewodros Amdeberhan, Dante Manna, Victor H. Moll
TL;DR
This paper investigates the 2-adic valuations of Stirling numbers, proposing conjectures about their distribution patterns in residue classes modulo powers of 2, contributing to number theory understanding.
Contribution
It introduces conjectures on the distribution patterns of 2-adic valuations of Stirling numbers in residue classes modulo powers of 2.
Findings
Proposes conjectures on valuation distributions.
Analyzes patterns in residue classes.
Advances understanding of Stirling numbers' properties.
Abstract
The 2-adic valuation of the Stirling numbres is examined. We conjecture pattrens about the distributions of these valuations in residue classes modulo powers of 2.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Advanced Algebra and Geometry