Most Helpful Guy
Did you pay rent?1
Most Helpful Girl
I believe you have a right to withhold rent. However, Make sure you document everything! Send emails and make sure it's well-documented that you have told them about the heating issue. Never call them, because calls can't be documented. Even if you do write down the date and time you called, it's still going to be your word against theirs (unfair, but that's how it is).
Also, if you have a tenant board in your state or province, go to them and complain. They HAVE to provide heat, of course only at a specific temperature. So make sure you read up on the rules and regulations where you live.
I live in Canada and they HAVE to provide heat after the temperature is below a certain degrees. But I'm not sure exactly what it is. But they can't not heat the apartment.