Title: On a question of Gross concerning uniqueness of entire functions
Abstract: In this paper, we prove that there exist two finite sets S 1 (with 1 element) and S 2 (with 3 elements) such that any two entire functions f and g satisfying E f ( S j ) = E g ( S j ) for j = 1, 2 must be identical. This answers a question posed by Gross. Examples are provided to show that this result is sharp.