Sai Teja Somu

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20152024

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math.NT2022

On Some Results on Practical Numbers

Sai Teja Somu, Ting Hon Stanford Li, Andrzej Kukla

A positive integer $n$ is said to be a practical number if every integer in $[1, n]$ can be represented as the sum of distinct divisors of $n$ . In this article, we consider practica…

math.NT2022

On Power Values of Sum of Divisors function in Arithmetic Progressions

Sai Teja Somu, Vidyanshu Mishra

Let $a \geq 1, b \geq 0$ and $k \geq 2$ be any given integers. It has been proven that there exist infinitely many natural numbers $m$ such that sum of divisors of $m$ is a perfect $k…