On the integral solutions of the Egyptian fraction equation $\frac ap=\frac 1x+\frac 1y+\frac 1z$
It is an interesting question to investigate the integral solutions for the Egyptian fraction equation $\frac{a}{p}=\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$, which is known as Erd\H{o}s-Straus equation when $a=4$. Recently, Lazar proved that this equation has not integral solutions with $xy<\sqrt...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-03-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021289?viewType=HTML |