I knew they would say that, but that seems weird that they wouldn't be able to provide an output of errors that pertain to your site. Let's say your domain is called ferhatakguen.com. Presuming you are on Linux hosting and not Windows can you ask them to run this command :
cat error_log | grep ferhatakguen.com >> ferhatakguen_errors.txt
and send you that file?
That should only have things associated with your domain. (also note that the name of their error file may be different as well but I'm sure they know that.
Let me know what they say.
tim