
Follow the instructions for your architecture type, in order to get a successful installation: How to install LibreOffice 4.1 on 32 bit Ubuntu, Linux Mint, Debian and derivates: LibreOffice 4.1 is not available via repository, but it can be downloaded from the official site and installed by hand.

In this article I will show you how to install LibreOffice 4.1 stable on Ubuntu 13.10 Saucy Salamander, Ubuntu 13.04 Raring Ringtail, Ubuntu 12.10 Quantal Quetzal, Ubuntu 12.04 Precise Pangolin, Linux Mint 16 Petra, Linux Mint 15 Olivia, Linux Mint 14 Nadia, Linux Mint 13 Maya, Debian Jessie, Debian Sid, Debian Wheezy, Debian Squeeze, Deepin, CrunchBang OS, Knoppix and other dpkg based systems. To get a list of the features and improvements, see the release notes. As you may know, LibreOffice 4.1 stable has been released a while ago, with some bugfixes brought to the previous release candidate versions. The latest installation instructions for LibreOffice

In order to successfully install the latest version of LibreOffice, please access the libreoffice tag and open the latest article (the one on top).

Edit: Due to the fact that this article is old, the installation instructions may not work anymore.
