What's the difference between multiple parameters lists and multiple parameters per list in Scala?

In Scala one can write (curried?) functions like this

def curriedFunc(arg1: Int) (arg2: String) = { ... }

What is the difference between the above curriedFunc function definition with two parameters lists and functions with multiple parameters in a single parameter list:

def curriedFunc(arg1: Int, arg2: String) = { ... }

From a mathematical point of view this is (curriedFunc(x))(y) and curriedFunc(x,y) but I can write def sum(x) (y) = x + y and the same will be def sum2(x, y) = x + y

I know only one difference - this is partially applied functions. But both ways are equivalent for me.

Are there any other differences?