Article contents
SOME QUARTIC DIOPHANTINE EQUATIONS IN THE GAUSSIAN INTEGERS
Published online by Cambridge University Press: 16 June 2015
Abstract
In this paper we examine solutions in the Gaussian integers to the Diophantine equation $ax^{4}+by^{4}=cz^{2}$ for different choices of
$a,b$ and
$c$. Elliptic curve methods are used to show that these equations have a finite number of solutions or have no solution.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 92 , Issue 2 , October 2015 , pp. 187 - 194
- Copyright
- © 2015 Australian Mathematical Publishing Association Inc.
References
- 2
- Cited by