3 papers
math.NT2012
The Gross-Kuz'min Connjecture for CM fields
Preda Mihăilescu
Let be the projective limit of the -parts of the ideal class groups of the integers in the -cyclotomic extension of a…
math.NT2010
Turning Washington's heuristics in favor of Vandiver's conjecture
Preda Mihăilescu
A famous conjecture bearing the name of Vandiver states that in the - cyclotomic extension of $\Q$. Heuristics arguments of Washington, which have been briefly…
math.NT2009
Applications of Baker Theory to the Conjecture of Leopoldt
Preda Mihăilescu
In this paper we give a short, elementary proof of the following too extreme cases of the Leopoldt conjecture: the case when $\K/\Q$ is a solvable extension and the case when it is…