I'm looking for a pocket camera which performs well in low light conditions. I need a wide aperture such as f/2.4 or wider and I don't need to have zoom.
What would you recommend?
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You didn't specify the price range, so this answers your question. The RX1 has a 35mm f2.0 prime lens with a full frame sensor. The only question is whether it's pocketable... I guess it depends on how deep your pockets are!
An iPhone 5 is actually not as terrible as it might sound. Some great photos have been taken using just iPhones, and additionally, it can do reasonable quality 1080p Video as well.
If you prefer android, there's also the Nexus 4 route which has almost identical specs. Personally, I've used 3rd party applications to augment both devices and improve their low-light capabilities as well as allowing for long-exposures etc.
Worth considering if you don't have one already.