On explicit formulas for the number of solutions to the equation in a finite field.
On extensions of 1 chains
On extremal h-bases A...
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 Fibonacci numbers which are one more than a square.
On finitely generated submonoids of N k
On formulas for the Frobenius number of a numerical semigroup.
On fundamental solutions of binary quadratic form equations
We show that, with suitable modification, the upper bound estimates of Stolt for the fundamental integer solutions of the Diophantine equation Au²+Buv+Cv²=N, where A>0, N≠0 and B²-4AC is positive and nonsquare, in fact characterize the fundamental solutions. As a corollary, we get a corresponding result for the equation u²-dv²=N, where d is positive and nonsquare, in which case the upper bound estimates were obtained by Nagell and Chebyshev.
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.