On the quasi-palindromic p-adic Ruban continued fractions

B. Ammous () and L. Dammak ()
Additional contact information
B. Ammous: Département de Mathématiques
L. Dammak: Département de Mathématiques

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 3, 725-733

Abstract: Abstract In this paper, we give new transcendence criteria of p-adic continued fractions. We prove that a p-adic number whose the sequence of its partial quotients is bounded in $$\mathbb {Q}_p$$ Q p and begins with arbitrarily long quasi-palindromes is transcendental by using the p-adic version of Schmidt Subspace Theorem.

Keywords: Continued fractions; p-adic numbers; Transcendence; Subspace Theorem; 11A55; 11D88; 11J81; 11J87 (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-022-00290-1 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:54:y:2023:i:3:d:10.1007_s13226-022-00290-1

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-022-00290-1

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().