We start this week's podcast by talking about the launch of BlackBerry 10 before moving on to discuss a 4G promise from Three UK.

The numerical theme continues with the Microsoft 4Afrika project, a handful of quarterly results and some investment news. Plus there’s worrying new malware and a curious Apple trademark application.

Mark Bridge writes:

Apple launches a new product and BlackBerry pushes it out of the headlines. Who’d have thought it, eh?

Yes, Apple’s new $799 128GB iPad didn’t get much of a mention in the mobile press last week - thanks to the new BlackBerry 10 platform and two new smartphones. Memories of Stephen Bates’s awkward BBC interviews were soon forgotten as the touchscreen Z10 appeared and quickly hit the shelves of UK retailers.

Ofcom has published a proposal to liberalise all UK mobile licences in the 900MHz, 1800MHz and 2100MHz bands. This would let network operators deploy 4G technology on frequencies that had originally just been licensed for 2G or 3G services.

In addition, it’s proposing that base stations would be allowed to transmit at increased power on 900MHz frequencies.

The last of the 2012 quarterly results are coming in, so it's time to compare figures from the biggest mobile handset manufacturers.

We're also looking at Twitter's new video app, discussing the forthcoming Firefox OS and preparing for the BlackBerry 10 launch later today.

UK telecoms regulator Ofcom says the first bid stage of its 800MHz and 2.6GHz mobile spectrum auction has now started.

Seven companies are competing for 4G spectrum in a process known as a ‘combinatorial clock auction’ that’s expected to take several weeks and a number of separate bidding rounds.