Arithmetical Dynamics: Part 5

Arithmetical Dynamics: Part 5

Arithmetical dynamics is the combination of dynamical systems and number theory in mathematics. The basic objective of Arithmetical dynamics is to explain the arithmetic properties with regard to underlying geometry structures. Again, we are here with the Part 5 of...
Arithmetical Dynamics: Part 0

Arithmetical Dynamics: Part 0

Arithmetical dynamics is the combination of dynamical systems and number theory in mathematics. We are here with the Part 0 of the Arithmetical Dynamics Series. Let’s get started…. Rational function \( R(z)= \frac {P(z)}{Q(z)} \) ; where P and Q are...
Arithmetical Dynamics: Part 4

Arithmetical Dynamics: Part 4

We are here with the Part 4 of the Arithmetical Dynamics Series. Let’s get started…. Arithmetical dynamics is the combination of dynamical systems and number theory in mathematics. \( P^m(z) = z \ and \ P^N(z)=z \ where \ m|N \Rightarrow (P^m(z) – z)...
Arithmetical Dynamics: Part 3

Arithmetical Dynamics: Part 3

We are here with the Part 3 of the Arithmetical Dynamics Series. Let’s get started…. Arithmetical dynamics is the combination of dynamical systems and number theory in mathematics. Theory: Let \( \{ \zeta_1 , ……., \zeta_m \} \) be a ratinally...
Arithmetical Dynamics: Part 2

Arithmetical Dynamics: Part 2

We are here with the Part 2 of the Arithmetical Dynamics Series. Let’s get started…. Arithmetical dynamics is the combination of dynamical systems and number theory in mathematics. The lower bound calculation is easy . But for the upper bound , observe...