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In the present article we extend several arithmetical results to a family of generalized Bell numbers called r-Bell numbers. In particular, we generalize some congruences such as Touchard's congruence, Sun–Zagier… Click to show full abstract
In the present article we extend several arithmetical results to a family of generalized Bell numbers called r-Bell numbers. In particular, we generalize some congruences such as Touchard's congruence, Sun–Zagier congruence for Bell and derangement numbers and polynomials, among others. We also describe the behavior of the 2-adic valuation of the r-Bell numbers.
Keywords:
properties bell;
divisibility properties;
bell numbers;
numbers polynomials
Journal Title: Journal of Number Theory
Year Published: 2017
Link to full text (if available)
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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!