On a few Diophantine equations, in particular, Fermat's Last Theorem.
On arithmetic progressions of equal lengthsand equal products of terms
On certain combinatorial Diophantine equations and their connection to Pythagorean numbers
On certain Diophantine systems with infinitely many parametric solutions and applications
On equations in two S-units over function fields of characteristic 0
On Euler's quartic surface.
On Fermat's equation with exponent 2p
On Fermat's equation with prime power exponents
On Fermat's last theorem.
On Fermat's last theorem.
On Fermat's last theorem.
On Fermat's Last Theorem.
On Fermat's last theorem
On Fermat's last theorem. II.
On Fermat's last theorem. VII.
On general proof of Fermat's last theorem
On general proof of Fermat's Last Theorem - Epilogue
On generalized Fermat equations of signature (p,p,3)
This paper focuses on the Diophantine equation , with fixed α, p, and M. We prove that, under certain conditions on M, this equation has no non-trivial integer solutions if , where is an effective constant. This generalizes Theorem 1.4 of the paper by Bennett, Vatsal and Yazdani [Compos. Math. 140 (2004), 1399-1416].
On generalized Fermat's last theorem. II.
On Krasner's Criteria for the First Case of Fermat's Last Theorem.