Identities Arising from Binomial-Like Formulas Involving Divisors of Numbers

Karol Gryszka

doi:10.2478/amsil-2023-0013

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Identities Arising from Binomial-Like Formulas Involving Divisors of Numbers

Annales Mathematicae Silesianae

Volume 37 (2023): Issue 2 (September 2023)

By: Karol Gryszka

Open Access

|Jul 2023

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2023-0013 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 266 - 293

Submitted on: Jan 3, 2023

Accepted on: Jul 13, 2023

Published on: Jul 26, 2023

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

divisor,

multiplicative function,

symmetric polynomial,

Related subjects:

© 2023 Karol Gryszka, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 37 (2023): Issue 2 (September 2023)