Earlier this year, I purchased a Kindle e-reader from Amazon.co.uk I wanted to use this because I travel a lot and I needed a lightweight, convenient and easy way of carrying my books around. It was the second e-reader I had had (the previous one broke after several years).
The new one I bought seemed fine at first. It did seem to be taking ages and ages to download books. But otherwise it was okay. But then, barely 3 weeks after I had bought it, the thing broke down. Suddenly, it just would not charge. All the kindle e-reader does these days is show a picture of a battery and an exclamation mark inside it. I used the charger which I had retained from the previous kindle e-reader.
I want either (a) Amazon to repair my kindle, or (b) Amazon to replace it free of charge. What are the odds of either happening, especially as that model is now no longer in stock?
In any case, I want to send my broken Kindle back to Amazon.
If the device has failed during its 12 month warranty period, you should find Amazon will quickly swap it out for you. If the model you bought is no longer sold, they'll still want to sort things out for you. They tend to be one of the easier firms to deal with on such things, especially when it comes to their own brand devices.
Give them a call or talk to them via the live chat.
But before going down that route, it's worth trying a different charger if you have one - sometimes they can fail - and leaving the device plugged in overnight to ensure it has the maximum chance to charge.
EDIT: I note you talk about buying the Kindle "Earlier this year" and then say it broke down after three weeks which implies it's been at least a few months since you got it and the fault appeared?
You should always contact sellers as soon as possible in the event of a problem as under UK consumer law your rights do change a bit after the first 6 months of purchase - after the first six months retailers are entitled to ask that you prove the fault was present when it was bought.