Identities arising from binomial-like formulas involving divisors of numbers

Karol Gryszka

Published: 2023-07-26

Vol. 37 No. 2 (2023)

Identities arising from binomial-like formulas involving divisors of numbers

Karol Gryszka

Abstract

In this article, we derive a great number of identities involving the ω function counting distinct prime divisors of a given number n. These identities also include Pochhammer symbols, Fibonacci and Lucas numbers and many more.

Keywords:

divisor , multiplicative function , symmetric polynomial , Fibonacci numbers , Stirling numbers

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Gryszka, K. (2023). Identities arising from binomial-like formulas involving divisors of numbers. Annales Mathematicae Silesianae, 37(2), 266–293. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/15793

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Vol. 37 No. 2 (2023)
Published: 2023-09-21

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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