On the diophantine equation (-1)([n]{¹)[/]²(([n-1]/2)!)²+a[n]{¹=n[k

HKUST Electronic Theses

On the diophantine equation (-1)([n]{¹)[/]²(([n-1]/2)!)²+a[n]{¹=n[k

by Fong Shun Chen

THESIS 1997

M.Phil. Mathematics

vi, 16 leaves ; 30 cm

Abstract
We prove that the equation (-l)^(n-1)/2 (((n-1)/2)!)²+a^n-1=n^k in positive integers n, a, k with n > 2 and odd has only two solutions: (n, a, k) = (3,2,1), (5,1,1).

View Copyrighted to the author. Reproduction is prohibited without the author’s prior written consent.

Details

Collection HKUST Electronic Theses Degree M.Phil. Department Mathematics Authors Fong, Shun Chen Subjects Diophantine analysis Equations Language English Call number Thesis MATH 1997 Fong DOI 10.14711/thesis-b564590

Full record

On the diophantine equation (-1)([n]{¹)[/]²(([n-1]/2)!)²+a[n]{¹=n[k

by Fong Shun Chen

Post a Comment Cancel reply