About this document
Infinite Solutions for Smarandache Equations by Mia Amalia is a document available to read on EtoBox.
The document discusses two diophantine equations containing the Smarandache function: m·S(m) = n·S(n) and m·S(n) = n·S(m). It is shown that both equations have infinitely many solutions in certain cases. For the first equation, solutions exist when m = n, or when m and n have the same divisor d with m/d and n/d satisfying certain conditions. For the second equation, solutions exist when m = n, or when m and n are relatively prime. Several examples are worked through to illustrate specific solutions.
- Author
- Mia Amalia
- Language
- EN