They are more than weak, they are nearly nonexistent. There are only a few arguments for the existence of god, and each has been debunked numerous times. The arguments sometimes get repackaged and modified to try to address the criticisms and are presented again as if new, but they still amount to the same logical fallacies or flawed premises.
Here is a partial list I can think of off the top of my head:
The Watchmaker Analogy (Teleology Argument)
The First Cause (a.k.a Cosmological Argument)
The God of the Gaps Argument
an argumentum ad populum
Each of these have been debunked, in some instances for centuries, yet you will hear them used over and over again. There is no good argument for the existence of god. A critical analysis of any argument, leaving your confirmation bias outside, will lead to the inevitable conclusion that there is insufficient evidence to accept the claim that god exists.