Year: 2025
Type: article
Abstract: We establish a new transcendence criterion of Ruban p-adic continued fractions and we prove that a p-adic number whose sequence of partial quotients is bounded in Qp and has a stammering continued fraction expansion is either quadratic or transcendental where p is a prime number.
Authors: Khouloud Dammak, Mohamed Hbaib
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,390
OpenAlex ID: W4408550468