Fermat-type functional equations and the method of jet differentials
Grant Data
Project Title
Fermat-type functional equations and the method of jet differentials
Principal Investigator
Professor Ng, Tuen Wai
(Principal Investigator (PI))
Duration
42
Start Date
2016-01-01
Amount
451255
Conference Title
Fermat-type functional equations and the method of jet differentials
Presentation Title
Keywords
Cartan's theory, Fermat type equations, jet differentials, Waring problems
Discipline
Pure Mathematics
Panel
Physical Sciences (P)
HKU Project Code
17301115
Grant Type
General Research Fund (GRF)
Funding Year
2015
Status
Completed
Objectives
1. For the three term Fermat type functional equations, try to settle at least one or two of the cases n=6 (for entire solutions), 7 and 8 (meromorphic solutions) with some growth restriction on the functions and hence partially solve the long-standing problem(s) asked by Hayman as well as Gundersen. 2. Try to study the three term Waring-type equations or some sharing sets problems using jet differentials.