Identities Arising from Binomial-Like Formulas Involving Divisors of Numbers

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
• 11a25
• 11c08
• 11b39