Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On Lagrange algorithm for reduced algebraic irrationalities
Authors: N. M. Dobrovol’skii, I. N. Balaba, I. Yu. Rebrova, N. N. Dobrovol’skii
– 0.14 Mb
Abstract
In this paper the properties of Lagrange algorithm for expansion of algebraic number are refined. It has been shown that for reduced algebraic irrationalities the quantity of elementary arithmetic operations which needed for the computation of next incomplete quotient does not depend on the value of this incomplete quotient.\\ \hspace*{6mm}It is established that beginning with some index all residual fractions for an arbitrary reduced algebraic irrationality are the generalized Pisot numbers. An asymptotic formula for conjugate numbers to residual fractions is obtained.\\ \hspace*{6mm}The definition of generalized Pisot numbers differs from the definition of Pisot numbers by absence of the requirement to be integer.Tula State Lev Tolstoy Pedagogical University
Lenina prospect, 125, 300026, Tula, Russia
E-mail: , , ,
Lenina prospect, 125, 300026, Tula, Russia
E-mail: , , ,
Fulltext
– 0.14 Mb
Contents
- Lacunary Ideal Convergence in Probabilistic Normed Space
- The multiplicative Zagreb co-indices on two graph operators
- On Lagrange algorithm for reduced algebraic irrationalities
- Asymmetric ID-Based Encryption System, Using an Explicit Pairing Function of the Reciprocity Law
- Almost periodicity of functions on universal algebras
- Lattice of all topologies of countable module over countable rings
- Stationary Nash Equilibria for Average Stochastic Games with Finite State and Action Spaces
- General form transversals in groups
- Operations on level graphs of bipolar fuzzy graphs
- On pseudoisomorphy and distributivity of quasigroups
- On spectrum of medial T2-quasigroups
