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On existence of canonical number system in certain classes of pure algebraic number fields


Article Information

Title: On existence of canonical number system in certain classes of pure algebraic number fields

Authors: Abdul Hameed, Toru Nakahara, Syed Muhammad Husnine, Shahzad Ahmad

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2011

Volume: 1

Issue: 1

Language: English

Keywords: algebraic integersCanonical Number System

Categories

Abstract

Canonical Number System can be considered as natural generalization of radix representation of rational integers to algebraic integers. We determine the existence of Canonical Number System in two classes of pure algebraic number fields of degree \(2^n\) and \(n\).


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