54 citations · 61 across the 15 of their papers we have counts for
17 papers
The strong Fermat-Catalan Equation
Preda Mihailescu
We give a cyclotomic proof of the fact that the equation has no solutions in coprime integers and , a pair of distinct odd prime…
Double exponential lower bounds for possible solutions in the Second Case of the Fermat Last Theorem
Preda Mihăilescu, Michael T. Rassias
In a recent paper, the first author provided some lower bounds to solutions of the equations of Fermat and Catalan, based on local power series developments at the ramified prime o…
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…
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…
On the vanishing of Iwasawa's constant for the cyclotomic -extensions of number fields
Preda Mihailescu
We prove that for the cyclotomic -extensions of CM number fields.
The Leopoldt and Iwasawa Conjectures for CM fields
Preda Mihailescu
This is a two - part paper, in which we prove the following fact: let K be a CM field and L/K be a CM Z_p-extension. Then the Iwasawa mu-invariant of L vanishes. For the case when…