Geodesic
Palindromic p-adic continued fractions
Filomat, Tome 36 (2022) no. 4, p. 1351

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

The aim of this paper is to establish new transcendence criteria of p-adic continued fractions. We prove that a p-adic number whose sequence of partial quotients is bounded in Q p and begins with arbitrarily long palindromes is either quadratic or transcendental
DOI : 10.2298/FIL2204351A
Classification : 11A55, 11D88, 11J81, 11J87
Keywords: Continued fractions, p-adic numbers, Transcendence, Subspace Theorem 
Basma Ammous; Lamia Dammak. Palindromic p-adic continued fractions. Filomat, Tome 36 (2022) no. 4, p. 1351 . doi: 10.2298/FIL2204351A
@article{10_2298_FIL2204351A,
     author = {Basma Ammous and Lamia Dammak},
     title = {Palindromic p-adic continued fractions},
     journal = {Filomat},
     pages = {1351 },
     year = {2022},
     volume = {36},
     number = {4},
     doi = {10.2298/FIL2204351A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2204351A/}
}
TY  - JOUR
AU  - Basma Ammous
AU  - Lamia Dammak
TI  - Palindromic p-adic continued fractions
JO  - Filomat
PY  - 2022
SP  - 1351 
VL  - 36
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2204351A/
DO  - 10.2298/FIL2204351A
LA  - en
ID  - 10_2298_FIL2204351A
ER  - 
%0 Journal Article
%A Basma Ammous
%A Lamia Dammak
%T Palindromic p-adic continued fractions
%J Filomat
%D 2022
%P 1351 
%V 36
%N 4
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2204351A/
%R 10.2298/FIL2204351A
%G en
%F 10_2298_FIL2204351A

Cité par Sources :