On the system of Diophantine equations a 2 + b 2 = ( m 2 + 1 ) r and a x + b y = ( m 2 + 1 ) z Florian Luca (2012) Acta Arithmetica
On the System of Diophantine Equations X2 - 6y2 = -5 and x= 2z2 - 1. Maurice Mignotte, Attila Pethö (1995) Mathematica Scandinavica
On the torsion subgroups of elliptic curves over totally real fields. S. Kamienny (1986) Inventiones mathematicae
On the two-dimensional theta functions of the Borweins Ayşe Alaca, Şaban Alaca, Kenneth S. Williams (2006) Acta Arithmetica
On two-parametric family of quartic Thue equations Borka Jadrijević (2005) Journal de Théorie des Nombres de Bordeaux We show that for all integers m and n there are no non-trivial solutions of Thue equation x 4 - 2 m n x 3 y + 2 m 2 - n 2 + 1 x 2 y 2 + 2 m n x y 3 + y 4 = 1 , satisfying the additional condition gcd ( x y , m n ) = 1 .
On unit equations and decompsable form equations. J.H. Evertse, K. Györy (1985) Journal für die reine und angewandte Mathematik
On unit solutions of the equation xyz = x+y+z in the ring of integers of a quadratic field R. Mollin, C. Small, K. Varadarajan, P. Walsh (1987) Acta Arithmetica
On unit solutions of the equation xyz=x+y+z in a number field with unit group of rank 1 Liang-Cheng Zhang, Jonathan Gordon (1991) Acta Arithmetica
On values of a polynomial at arithmetic progressions with equal products N. Saradha, T. N. Shorey, R. Tijdeman (1995) Acta Arithmetica
On Waring's problem for two squares and three cubes. Christopher Hooley (1981) Journal für die reine und angewandte Mathematik