Publications and Research
Document Type
Poster
Publication Date
8-10-2023
Abstract
The Erdős–Straus conjecture, initially proposed in 1948 by Paul Erdős and Ernst G. Straus, asks whether the equation 4/n = 1/x + 1/y + 1/z is solvable for all n ∈ N and some x, y, z ∈ N. This problem touches on properties of Egyptian fractions, which had been used in ancient Egyptian mathematics. There exist many partial solutions, mainly in the form of arithmetic progressions and therefore residue classes. In this work we explore partial solutions and aim to expand them.
Comments
This poster was presented at the 1st Annual Celebrating Research Excellence Symposium at City Tech held at the New York City College of Technology, New York, August 10, 2023. Mentor: Professor Satyanand Singh (Mathematics).