1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.NT2021★ 1 cited
Beyond and slightly aside of the Fermat Desert
Boris Bartolomé, Preda Mihailescu
We give a cyclotomic proof of the fact that the equation has no solutions in coprime integers and , a prime. This implies in partic…
math.NT2014
On the equation X^n-1=B.Z^n
Boris Bartolome, Preda Mihailescu
We consider the Diophantine equation X^n - 1 = B.Z^n, where B in Z is understood as a parameter. We prove that if the equation has a solution, then either the Euler totient of the…
math.NT2014
The Skolem-Abouzaid theorem in the singular case
Boris Bartolome
Let F(X;Y) in Q[X;Y] be a Q-irreducible polynomial. In 1929 Skolem proved the following theorem: "Assume that F(0;0) = 0. Then for every non-zero integer d, the equation F(X;Y) = 0…