Volume no :24, Issue no: 1, March (2021)

Journal of Algebra, Number Theory: Advances and Applications

k PART PARTITIONS OF INTEGERS

Author's: Zdzislaw Trukszyn and Ryszard Palka
Pages: [43] - [52]
Received Date: March 12, 2021
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100122189

Abstract

This paper presents formulas (together with their proofs) determining 3 and 4 part partitions of any integer. These formulas were derived using the properties of the floor function and Bernoulli formulas for various powers of finite sums of the floor function series. This made it possible to obtain above formulas in a much simpler way than most traditional methods.

Keywords

k part partitions, floor function.