On the Positive Integral Solutions of the Diophantine Page 1 \[ \ rule {3em}{0.4pt} \] \centerline{BULLETIN
of the \quad Bull . Malays . Math . Sci . Soc . ( 2 ) 3 1 ( 2 ) ( 2008 ) , 129 −− 1 \centerline{Malaysian …

In this paper, we shall prove that all positive integral solutions (x, y, z) of the diophantine
equation x3+ by+ 1− xyz= 0 satisfy x≤ b ((2b3+ b) 3+ 1)+ 1, y≤(2b3+ b) 3+ 1, and z≤(b …

In this paper, we give a formula for the number of positive integral solutions (x, y, z) of the
equation x 3+ by+ 1− xyz= 0 and also we prove a stronger form of a conjecture of SP …

Consider the diophantine equation $ ax^{3}+ by+ c= xyz $, where $ a, b $ and $ c $ are
positive integers such that $\gcd (a, c)= 1$ and $ c $ is square-free. Let $(x, y, z) $ be a …

In this paper, we study the diophantine equation ax^ 3+ by+ c= xyz ax 3+ by+ c= xyz and we
produce an upper bound for the number of positive integral solutions (x, y, z) of the equation …

Lenstra theorem in number fields Page 1 Proc. Indian Acad. Sci. (Math. Sci.) Vol. 124, No. 4,
November 2014, pp. 481– 485. c Indian Academy of Sciences Lenstra theorem in number …

51 имеет конечное число решений в натуральных числах n, га, то уравнение хг+/(я, z)
x2+ д (х, z) x+ у+ 1= xyz также имеет конечное число решений в натуральных числах ж …