%0 Journal Article %T The main conjecture of Iwasawa theory for totally real fields %A Mahesh Kakde %J Mathematics %D 2010 %I arXiv %X The purpose of this paper is to prove the main conjecture of non-commutative Iwasawa theory for p-adic Lie extensions, for an odd prime p, of totally real number fields assuming that the Iwasawa mu invariant of a certain totally real number field vanishes. %U http://arxiv.org/abs/1008.0142v3