Work

On solutions of ∑i=1n1/xi = 1 in integers of the form 2akb

Year: 2024

Type: article

Abstract: We give an algorithm that produces all solutions of the equation [Formula: see text] in integers of the form [Formula: see text], where k is a fixed positive integer that is not a power of 2, a is an element of [Formula: see text] that can vary from term to term, and b is a nonnegative integer that can vary from term to term. We also completely characterize the pairs [Formula: see text] for which this equation has a nontrivial solution in integers of this form.

Source: International Journal of Number Theory

DOI: 10.1142/s1793042125500204

Author: Joel Louwsma

Institution: Niagara University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Niagara University

OpenAlex ID: W4403002520

FWCI:

Cites: 11

Cited by:

Related to: 10