Artin's primitive root conjecture–a survey
P Moree - Integers, 2012 - degruyter.com
One of the first concepts one meets in elementary number theory is that of the multiplicative
order. We give a survey of the literature on this topic emphasizing the Artin primitive root …
order. We give a survey of the literature on this topic emphasizing the Artin primitive root …
[PDF][PDF] Iterations of integer polynomial maps modulo primes
A Borisov - Journal of Integer Sequences, 2013 - kurims.kyoto-u.ac.jp
In this elementary note we discuss some questions related to the behavior of iterations of
polynomial maps with integer coefficients modulo primes. In particular, we introduce three …
polynomial maps with integer coefficients modulo primes. In particular, we introduce three …
Iterations of rational functions: some algebraic and arithmetic aspects
A Ostafe - Finite fields and their applications, 2013 - degruyter.com
In this survey we discuss several arithmetic and algebraic aspects of dynamical systems
generated by rational functions, mostly over finite fields. We will mention some applications …
generated by rational functions, mostly over finite fields. We will mention some applications …
Periodic points and tail lengths of split polynomial maps modulo primes
B Hutz, T Patel - Involve, a Journal of Mathematics, 2022 - msp.org
Explicit formulas are obtained for the number of periodic points and maximum tail length of
split polynomial maps over finite fields for affine and projective space. This work includes a …
split polynomial maps over finite fields for affine and projective space. This work includes a …
Iteration entropy
J von zur Gathen - Mathematics of Computation, 2019 - ams.org
We apply a common measure of randomness, the entropy, in the context of iterated functions
on a finite set with $ n $ elements. For a permutation, this entropy turns out to be …
on a finite set with $ n $ elements. For a permutation, this entropy turns out to be …
Cycle structure of power map**s in a residue classes ring
AM Zubkov, VE Tarakanov - Discrete Mathematics and Applications, 2013 - degruyter.com
In last decades due to the applications of pseudorandom number generators in
cryptography it is observed a growing interest to the design and investigation of …
cryptography it is observed a growing interest to the design and investigation of …
The Distribution of Primes, with Applications to Dynamical Systems
L Rubin - 2018 - search.proquest.com
This is a thesis in analytic number theory, with an emphasis on the distribution of prime
numbers. Chapter 1 summarizes the classical results on this topic, namely, the Prime …
numbers. Chapter 1 summarizes the classical results on this topic, namely, the Prime …
[PDF][PDF] Max-Planck-Institut für Mathematik Bonn
P Moree - webdoc.sub.gwdg.de
One of the first concepts one meets in elementary number theory is that of the multiplicative
order. We give a survey of the literature on this topic emphasizing the Artin primitive root …
order. We give a survey of the literature on this topic emphasizing the Artin primitive root …
[PDF][PDF] Max-Planck-Institut für Mathematik, Bonn, Germany moree@ mpim-bonn. mpg. de
P Moree - INTEGERS, 2012 - emis.muni.cz
One of the first concepts one meets in elementary number theory is that of the multiplicative
order. We give a survey of the literature on this topic emphasizing the Artin primitive root …
order. We give a survey of the literature on this topic emphasizing the Artin primitive root …
[CITATION][C] Цикловая структура степенных отображений в кольце классов вычетов
ВЕ Тараканов, АМ Зубков - Дискретная математика, 2013 - mathnet.ru
В последние десятилетия в связи с применениями датчиков псевдослучайных чисел в
криптографии повысился интерес к разработке и исследованию датчиков …
криптографии повысился интерес к разработке и исследованию датчиков …