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- Publisher
- Springer Journals
- Copyright
- Copyright © 2009 by Mathematisches Seminar der Universität Hamburg and Springer
- Subject
- Mathematics; Geometry ; Topology; Number Theory; Combinatorics; Differential Geometry; Algebra
- ISSN
- 0025-5858
- eISSN
- 1865-8784
- DOI
- 10.1007/s12188-009-0027-y
- Publisher site
- See Article on Publisher Site
Abstract
It is well known that if two nonconstant meromorphic functions f and g on the complex plane ℂ have the same inverse images counted with multiplicities for four distinct values, then g is a Möbius transformation of f. In this paper, we will show that the above result remains valid if f and g share four distinct small functions counted with multiplicities truncated by 2. This is the best possible truncation level.
Journal
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg – Springer Journals
Published: Jul 1, 2009