I Misunderstood you then. I thought that you had already downloaded the app and you were trying to rad a newspaper but you were not able to do so because of the recurring request to enter your Apple ID and password.
Have you ever used an Apple ID prior to this and if you did, were you successful?
You said that you reset the password several times. Does that process appear to be working correctly meaning are you receiving confirmation from Apple?
IF you are signed into the ID in the settings, try signing out, restart your iPad and then sign in again. Settings>iTunes & App Store>Apple ID>Tap your ID and sign out. Restart the iPad by holding down on the power button until you see the slider bar then slide to the right to shut down. To power up again, hold the power button until you see the Apple logo on the screen. Go back to Settings>iTunes & App Store>Apple ID>Sign in again.