Time: 9h00, Wednesday, October, 8, 2014

Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract: B"\uchi's $n$-th power problem asks   is there a positive integer $M$ such that any sequence $(x_1^n,...,x_M^n)$ of $n$-th powers of integers with $n$-th difference equal to $n!$ is necessarily a sequence of $n$-th powers of successive integers.  In this paper, we study an analogue of this problem for meromorphic functions and algebraic functions.