The question is: Find an entire function f such that f(k+il)=0 for all possible k, l integers. Find the most elementary solution possible.
This is a homework question from complex variable course. I don't understand this question. If given a sequence of zeros of entire function, then we can write a very general form of entire functions using weierstrass theory. So the question here is about how to construct this sequence? Could anybody explain this question for me? Really appreciate your help!