Fermat-type functional equations and the method of jet differentials
Professor Ng, Tuen Wai (Principal investigator)
Fermat type equations, Cartan's theory, Waring problems, jet differentials
Physical Sciences (P)
RGC General Research Fund (GRF)
HKU Project Code
General Research Fund (GRF)
2 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) and hence solve the long-standing problem(s) asked by Hayman as well as Gundersen. 3 Try to study the three term Waring-type equations to see if Hayman’s result can be sharpened. 4 Train one or two graduate students to work on general Fermat-type or Waring-type functional equations and related problems in complex differential equations.