Work

Continued fractions in hyperelliptic fields with an arbitrarily large period length

Year: 2024

Type: article

Abstract: The article proves the following statement: in any hyperelliptic field L defined over the field of algebraic numbers K which having non-trivial units of the ring of integer elements of the field L, there is an element for which the period length of the continued fraction is greater any pre-given number.

Source: Доклады Российской академии наук Математика информатика процессы управления

DOI: 10.31857/s2686954324020093

Authors: V. P. Platonov, G. V. Fedorov

Institutions: Steklov Mathematical Institute, Systems Research & Development Institute of Japan, Sirius University of Science and Technology

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4403129003

FWCI: 0.464

Cites: 10

Cited by: 1

Related to: 10