Remark on a Paper by Izadi and Baghalaghdam about Cubes and Fifth Powers Sums

Abstract

In this paper, we refine the method introduced by Izadi and Baghalaghdam to search integer solutions to the Diophantine equation $X_1^5+X_2^5+X_3^5=Y_1^3+Y_2^3+Y_3^3$. We show that the Diophantine equation has infinitely many positive solutions.

arXiv commentTo appear in Math. J. Okayama Univ

References in corpus (1)

• On the Diophantine equation in the form that a sum of cubes equals a sum of quintics