Some Equations Concerning the Sum of Divisors Function

Authors

  • Andreea Dima Institutul de Matematică “Simion Stoilow”

DOI:

https://doi.org/10.46787/pump.v8i.6178

Keywords:

equations; sum of divisors function; lifting the exponent lemma

Abstract

In this article, I wiil consider four equations involving the sum of divisors function, σ, and I will prove that for the first two there are infinitely many solutions, while for the other two I will provide some particular solutions. I will also study some properties regarding two sequences of numbers.

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Published

2025-09-18

How to Cite

Dima, A. (2025). Some Equations Concerning the Sum of Divisors Function. The PUMP Journal of Undergraduate Research, 8, 374–380. https://doi.org/10.46787/pump.v8i.6178