We have recent, views, newest and votes buttons above the questions of users. I think we also need an unanswered button there. It should be very much helpful for the users.
You can always search for these questions using
Using answers:0 really only finds questions with no answers. You can instead search for your questions with no accepted answers using
If you use answers with a number other then 0, the number represents a lower limit (answers:1 returns all questions with at least 1 answer).
A button would make things easier, but most assuredly revive the discussion about the definition of "unanswered".
You can always make a bookmark in your browser using http://stackoverflow.com/search?q=user%3Ame+answers%3A0 and get close to what you want.