Edit: Due to the fact that this article is old, the installation instructions may not work anymore. In order to successfully install the latest version of LibreOffice, please access the libreoffice tag and open the latest article (the one on top).

The latest installation instructions for LibreOffice
Hello Linux Geeksters. As you may know, LibreOffice 4.0.6 Stable has been released a while ago, bringing fixes to the previous version. For more information, see the official changelog.
In this article I will show you how to install LibreOffice 4.0.6 on Ubuntu, Linux Mint, Debian, Pear OS and Elementary OS.
Because LibreOffice 4.0.6 is not available via repository or ppa, we have to download the archive from the official site and install the deb packages with dpkg. Follow the instructions for your architecture exactly, in order to get a successful installation.
How to install LibreOffice 4.0.6 on 32 bit Ubuntu, Linux Mint, Debian, Pear OS and Elementary OS systems:
$ wget -c download.documentfoundation.org/libreoffice/stable/4.0.6/deb/x86/LibreOffice_4.0.6_Linux_x86_deb.tar.gz
$ tar -xzvf LibreOffice_4.0.6_Linux_x86_deb.tar.gz
$ cd LibreOffice_4.0.6.2_Linux_x86_deb/DEBS
$ sudo dpkg -i *.deb
$ cd desktop-integration
$ sudo dpkg -i libreoffice4.0-debian-menus_4.0.6-2_all.deb
How to install LibreOffice 4.0.6 on 32 bit Ubuntu, Linux Mint, Debian, Pear OS and Elementary OS systems:
$ wget -c download.documentfoundation.org/libreoffice/stable/4.0.6/deb/x86_64/LibreOffice_4.0.6_Linux_x86-64_deb.tar.gz
$ tar -xzvf LibreOffice_4.0.6_Linux_x86-64_deb.tar.gz
$ cd LibreOffice_4.0.6.2_Linux_x86-64_deb/DEBS
$ sudo dpkg -i *.deb
$ cd desktop-integration
$ sudo dpkg -i libreoffice4.0-debian-menus_4.0.6-2_all.deb