3 papers
math.NT2024
On Sums of Practical Numbers and Polygonal Numbers
Sai Teja Somu, Duc Van Khanh Tran
Practical numbers are positive integers such that every positive integer less than or equal to can be written as a sum of distinct positive divisors of . In this paper,…
math.NT2023
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…
math.CA2023
On Some Doubly Logarithmic Integrals
Duc Van Khanh Tran
There have been many works on proving the integrals in the table of integrals compiled by Gradshteyn and Ryzhik, and in this paper we prove some doubly logarithmic integral identit…