Number Theoretical Remarks on the Paper "Some Structual Properties of Product Automata" by Kanaoka and Tomita
Takefumi Shudo, Ken Kuriyama, Taiho Kanaoka · Institutional Repositories DataBase (IRDB) · 1982
Number theoretical properties of automata are discussed. In particular, the following are discussed: (1) the characterization of the existence of the cycle, (2) the relation between the cycle of the product of relatively prime numbers and the cycles of these numbers, (3) the relation between the cycle of the power of a prime number and the cycle of the prime number. Lastly, the table of the cycles of prime numbers is given.