I have installed the Twitter app on my iPhone 4. However, I don't get any notification of new tweets from the people I follow. In Twitter's settings>Notifications I have messages ON, Mentions & Replies ON. Under the iPhone's settings?>Notifications I have the Badge App Icon ON; Sounds ON; View in Lock Screen ON; Notification Center ON. Any ideas on what is going on? Kinda defeats the purpose of Twitter if I can't get alerts about new messages without going into the app.