Fourth power diophantine equations in Gaussian integers

作者：Izadi Farzali^*; Rasool Naghdali Forooshani; Amaneh Amiryousefi Varnousfaderani

来源：Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2018, 128(2): UNSP 18.

DOI：10.1007/s12044-018-0390-7

• Quartic diophantine equation
• Gaussian integers
• elliptic curve
• rank
• torsion group

In this paper, we examine a class of fourth power diophantine equations of the form x(4) + kx(2) y(2) + y(4) = z(2) and ax(4) + by(4) = cz(2), in the Gaussian integers, where a and b are prime integers.

• 出版日期2018-4