Bulletin of the Australian Mathematical Society (2023)
Suggested Citation
Panraksa C., Samart D., Sriwongsa S. A DYNAMICAL SYSTEM PROOF OF NIVEN'S THEOREM AND ITS EXTENSIONS. Bulletin of the Australian Mathematical Society (2023). doi:10.1017/S0004972723000448 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/87898
Title
A DYNAMICAL SYSTEM PROOF OF NIVEN'S THEOREM AND ITS EXTENSIONS
Niven's theorem asserts that {equation presented}. In this paper, we use elementary techniques and results from arithmetic dynamics to obtain an algorithm for classifying all values in the set {equation presented} where K is an arbitrary number field.