Periodicity of general multidimensional continued fractions using repetend matrix form

H Řada, Š Starosta, V Kala - Expositiones Mathematicae, 2024 - Elsevier
We consider expansions of vectors by a general class of multidimensional continued fraction
algorithms. If the expansion is eventually periodic, then we describe the possible structure of …

On the periodic writing of cubic irrationals and a generalization of Rédei functions

N Murru - International Journal of Number Theory, 2015 - World Scientific
In this paper, we provide a periodic representation (by means of periodic rational or integer
sequences) for any cubic irrationality. In particular, for a root α of a cubic polynomial with …

On the Hermite problem for cubic irrationalities

N Murru - arXiv preprint arXiv:1305.3285, 2013 - arxiv.org
In this paper, the Hermite problem has been approached finding a periodic representation
(by means of periodic rational or integer sequences) for any cubic irrationality. In other …

Approximations of algebraic irrationalities with matrices

S Barbero, U Cerruti, N Murru - Experimental Mathematics, 2021 - Taylor & Francis
We discuss the use of matrices for providing sequences of rationals that approximate
algebraic irrationalities. In particular, we study the regular representation of algebraic …

Periodic Karyon Expansions of Algebraic Units in Multidimensional Continued Fractions

VG Zhuravlev - Journal of Mathematical Sciences, 2017 - go.gale.com
PERIODIC KARYON EXPANSIONS OF ALGEBRAIC UNITS IN MULTIDIMENSIONAL
CONTINUED FRACTIONS - Document - Gale Academic OneFile Use this link to get back to this …

Karyon Expansions of Pisot Numbers in Multidimensional Continued Fractions.

V Zhuravlev - Journal of Mathematical Sciences, 2017 - search.ebscohost.com
KARYON EXPANSIONS OF PISOT NUMBERS IN MULTIDIMENSIONAL CONTINUED
FRACTIONS Page 1 Journal of Mathematical Sciences, Vol. 225, No. 6, September, 2017 …

[PDF][PDF] CONTINUED FRACTION FOR TRIBONACCI RATIO

E Choi - International Journal of Pure and Applied …, 2015 - pdfs.semanticscholar.org
CONTINUED FRACTION FOR TRIBONACCI RATIO Eunmi Choi Department of Mathematics
HanNam University Daejeon, KOREA Abstract: We study Page 1 International Journal of …

[PDF][PDF] On the solution of the Hermite problem for cubic irrationalities

N Murru - arXiv preprint arXiv:1305.3285, 2013 - Citeseer
In this paper, a solution of the Hermite problem is given for any cubic irrationality, ie, a
periodic representation is provided for any cubic irrationality. The solution is found only …

[PDF][PDF] CURRICULUM VITEA ET STUDIORUM

I ALBI - 2010 - ordineingegneri.rg.it
• Tipo di azienda o settore Ente pubblico• Tipo di impiego Commissario esperto
aggiudicatore di gara dell'appalto di “Affidamento dei servizi di ingegneria e architettura per …

[引用][C] Периодические ядерные разложения кубических иррациональностей в цепные дроби

ВГ Журавлев - Современные проблемы математики, 2016 - mathnet.ru
0.1. Теорема Лагранжа. Пусть x=(x1, x2)–произвольная точка с координатами из R и
Fx= Q (x1, x2)–расширение поля рациональных чисел Q, получающееся добавлением к …