Work

Algebraic periodic points of transcendental entire functions

Year: 2024

Type: article

Abstract: We prove the existence of transcendental entire functions f having a property studied by Mahler, namely that [Formula: see text] and [Formula: see text], and in addition having a prescribed number of k-periodic algebraic orbits, for all [Formula: see text]. Under a suitable topology, such functions are shown to be dense in the set of all entire transcendental functions.

Source: International Journal of Number Theory

DOI: 10.1142/s1793042125500472

Authors: David Krumm, Diego Marques, Carlos Gustavo Moreira, Pavel Trojovský

Institutions: Universidad de Costa Rica, Universidade de Brasília, Instituto Nacional de Matemática Pura e Aplicada, University of Hradec Králové

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4404415125

FWCI:

Cites: 3

Cited by:

Related to: 10