Arithmetic dynamics is a field that amalgamates two areas of mathematics, dynamical systems and number theory. Part of the inspiration comes from complex...

Classically, discrete dynamics refers to the study of the iteration of self-maps of the complex plane or real line. Arithmetic dynamics is the study of the...

weight-monodromy conjecture. Anabelian geometry Frobenioid Arithmetic dynamics Arithmetic of abelian varieties Birch and Swinnerton-Dyer conjecture Moduli...

factors Formula for primes Factorization RSA number Fundamental theorem of arithmetic Square-free Square-free integer Square-free polynomial Square number Power...

mapping from some algebraic variety to itself. The related theory of arithmetic dynamics studies iteration over the rational numbers or the p-adic numbers...

1088/0026-1394/31/6/013. Peano, Giuseppe (1889). Arithmetices principia, nova methodo exposita [The principles of arithmetic, presented by a new method]. An excerpt...

curves (Yuan, Zhang & W. Zhang 2009 Yuan, Zhang & W. Zhang 2013). In arithmetic dynamics, Zhang (1995a, 2006) posed conjectures on the Zariski density of...

associated with arithmetic operations such as addition, subtraction, multiplication and division. Arithmetic dynamics Arithmetic dynamics is the study of...

In recreational mathematics, arithmetic billiards provide a geometrical method to determine the least common multiple (LCM) and the greatest common divisor...

and dynamical systems Shift space Shift of finite type Complex dynamics Arithmetic dynamics Hadamard, J. (1898). "Les surfaces à courbures opposées et leurs...

of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties...

episode 42, a sequence of happy primes is the password to open a door. Arithmetic dynamics Fortunate number Harshad number Lucky number Perfect digital invariant...

their digit sums with the digit sums of their prime factorizations. Arithmetic dynamics Casting out nines Checksum Digital root Hamming weight Harshad number...

related to Collatz conjecture. 3x + 1 semigroup Arithmetic dynamics Juggler sequence Modular arithmetic Residue-class-wise affine group It is also known...

professor of mathematics at Brown University working in arithmetic geometry, arithmetic dynamics, and cryptography. Joseph Silverman received an Sc.B. from...

use of a signed-digit representation to represent each integer. Arithmetic dynamics Dudeney number Factorion Happy number Kaprekar's constant Kaprekar...

these equations. Diophantine geometry is part of the broader field of arithmetic geometry. Four theorems in Diophantine geometry that are of fundamental...

by 0 results in 0, and consequently division by zero has no meaning in arithmetic. As a numerical digit, 0 plays a crucial role in decimal notation: it...

Arithmetic functions and dynamics...

+ i] sequence.append(n) return sequence[len(sequence) - 1] == x Arithmetic dynamics Fibonacci number Linear recurrence relation Keith, Mike (1987). "Repfigit...

Arithmetic functions and dynamics...

Arithmetic functions and dynamics...

numbers and cycles of length two that represent amicable pairs. Arithmetic dynamics Weisstein, Eric W. "Aliquot Sequence". MathWorld. Sloane, N. J. A...

In arithmetic dynamics, an arboreal Galois representation is a continuous group homomorphism between the absolute Galois group of a field and the automorphism...

numbers into deficient, perfect, or abundant, in his Introduction to Arithmetic (circa 100 CE). However, he applied this classification only to the even...

digits + 1): print(hensels_lemma(automorphic_polynomial, base, i)) Arithmetic dynamics Kaprekar number p-adic number p-adic analysis Zero-divisor See Gérard...

Arithmetic functions and dynamics...

Arithmetic functions and dynamics...

196 (one hundred [and] ninety-six) is the natural number following 195 and preceding 197. 196 is a square number, the square of 14. As the square of a...

Arithmetic functions and dynamics...