Article contents
On recursive solutions of a unit fraction equation
Published online by Cambridge University Press: 09 April 2009
Abstract
We consider the Egyptian fraction equation and discuss techniques for generating solutions. By examining a quadratic recurrence relation modulo a family of primes we have found some 500 new infinite sequences of solutions. We also initiate an investigation of the randomness of the distribution of solutions, and show that there are infinitely many solutions not generated by the aforementioned technique.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 57 , Issue 3 , December 1994 , pp. 341 - 356
- Copyright
- Copyright © Australian Mathematical Society 1994
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