SOME ALMOST INTEGERS GENERATED BY SOME PISOT NUMBERS

Durmishi, Emin (2019) SOME ALMOST INTEGERS GENERATED BY SOME PISOT NUMBERS. Journal of Natural Sciences and Mathematics of UT, 4 (7-8). pp. 164-168. ISSN 2671-3039

Text 21.pdf Download (1MB)

Abstract

Inspired by the Euler identity, there have been a lot of attempts to approximate particular integers by applying some algebraic operations to some non-integer numbers. Here it is used a method of generating some almost integers with the help of Pisot numbers (real algebraic integers greater than one with all Galois conjugates located in the open unit disc in the complex plane). The method consists of obtaining values that are very close to whole numbers by taking high powers of Pisot numbers. There are used some terms of three polynomial sequences to generate some Pisot numbers. A desired approximation to the integer depending on the power of the Pisot number and the distance of its Galois conjugates from the origin will be examined.

Item Type:	Article
Subjects:	Q Science > Q Science (General)
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Unnamed user with email zshi@unite.edu.mk
Date Deposited:	22 Feb 2020 18:40
Last Modified:	22 Feb 2020 18:40
URI:	http://eprints.unite.edu.mk/id/eprint/450

Actions (login required)

View Item