Sai Teja Somu

activity

20172023

collaborators

7 papers

math.NT2023

Some Results on Zumkeller Numbers

Sai Teja Somu, Andrzej Kukla, Duc Van Khanh Tran

A positive integer $n$ 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.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…

math.GM2021

On a Generalization of Tupper's Formula for $m$ Colours and $n$ Dimensions

Sai Teja Somu, Vidyanshu Mishra

Tupper's formula $\frac{1}{2} < ⌊ mod (⌊ \frac{y}{17} ⌋ 2^{- 17 ⌊ x ⌋ - mod (⌊ y ⌋, 17)}, 2) ⌋$ has an interesting pr…

math.NT2021

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.

math.NT2018

Additive Complements for a given Asymptotic Density

Alain Faisant, Georges Grekos, Ram Krishna Pandey +1

{The first version of this text was written and submitted to a journal on April, 12, 2018. This second version was submitted on April, 9, 2019.} We investigate the existence of sub…