Nobuhiro Terai

ON THE EXPONENTIAL DIOPHANTINE EQUATION

Let

A note on the Diophantine equation \(x^2+q^m=c^n\)

m

Generators for the elliptic curve y2 = x3−nx

,

On the exponential Diophantine equation \((3pm^2-1)^x+(p(p-3)m^2+1)^y=(pm)^z\)

a

ON EXPONENTIAL DIOPHANTINE EQUATIONS CONTAINING THE EULER QUOTIENT

,

Applications of a lower bound for linear forms in two logarithms to exponential Diophantine equations

c

A NOTE ON THE DIOPHANTINE EQUATION AX + BY = CZ

be positive integers with

On Jeśmanowicz' conjecture concerning primitive Pythagorean triples

a\equiv 3, 5~({\rm mod} \hspace{0.334em} 8)

Squares in Lucas sequences and¶some Diophantine equations

. We show that when

Generators for the elliptic curve

1+ c= {a}^{2}