Warianty tytułu
Języki publikacji
Abstrakty
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.(original abstract)
Twórcy
autor
- Pedagogical University of Cracow
Bibliografia
- Battaloglu R. and Y. Simsek, On new formulas of Fibonacci and Lucas numbers involving golden ratio associated with atomic structure in chemistry, Symmetry 13 (2021), no. 8, Paper No. 1334, 10 pp.
- Gryszka K., Binomial formulas via divisors of numbers, Notes Number Theory Discrete Math. 27 (2021), no. 4, 122-128.
- Hardy G.H. and E.M. Wright,An Introduction to the Theory of Numbers, sixth edition, Oxford University Press, Oxford, 2008.
- Jakimczuk R., On the function !(n), Int. Math. Forum 13 (2018), no. 3, 107-116.
- Lang S., Algebra, revised third edition, Graduate Texts in Mathematics, 211, Springer-Verlag, New York, 2002.
- Liu G., An identity involving the Lucas numbers and Stirling numbers, Fibonacci Quart. 46/47 (2008/2009), no. 2, 136-139.
- Sloane N.J.A., The On-Line Encyclopedia of Integer Sequences, 2021. https://oeis.org/A105278
- Vassilev-Missana M.V., New form of the Newton's binomial theorem, Notes Number Theory Discrete Math. 25 (2019), no. 1, 48-49.
- Wakhare T., Sums involving the number of distinct prime factors function, Rose-Hulman Undergrad. Math. J. 19 (2018), no. 1, Art. 8, 13 pp.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171672486
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