On a result of G. Brosch

We prove a uniqueness theorem for non-constant meromorphic functions f , g which share three values 0, 1,∞and f −a, g−b share the value 0 for a, b /∈ {0, 1,∞}. Our theorem improves a result of G. Brosch. © 2006 Elsevier Inc. All rights reserved.