4 papers · 1 filter
On practical sets and -practical numbers
Andrzej Kukla, Piotr Miska
Let be a set of positive integers. We define a positive integer as an -practical number if every positive integer from the set $\left\{1,\ldots ,\sum_{d\in A, d\mid n}d\…
Some Results on Zumkeller Numbers
Sai Teja Somu, Andrzej Kukla, Duc Van Khanh Tran
A positive integer is said to be a Zumkeller number or an integer-perfect number if the set of its positive divisors can be partitioned into two subsets of equal sums. In this…
On Some Results on Practical Numbers
Sai Teja Somu, Ting Hon Stanford Li, Andrzej Kukla
A positive integer is said to be a practical number if every integer in can be represented as the sum of distinct divisors of . In this article, we consider practica…
On Some Generalizations to Floor Function Identities of Ramanujan
Andrzej Kukla, Sai Teja Somu
We give some generalizations to three identities of Srinivasa Ramanujan involving greatest integer function.