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Beta-Expansions with Negative Bases

JOURNAL ARTICLE published August 2009 in INTEG

Authors: Shunji Ito | Taizo Sadahiro

Integers, real numbers, and complex numbers

BOOK CHAPTER published 25 November 1994 in Basic Abstract Algebra

Ito-Sadahiro numbers vs. Parry numbers

JOURNAL ARTICLE published 4 January 2011 in Acta Polytechnica

Authors: Z. Masáková | E. Pelantová

Natural numbers, integers, and real numbers

BOOK CHAPTER published 28 August 1997 in Set Theory for the Working Mathematician

Table 1. Variables used in the CNMF-E model and algorithm. ℝ: real numbers; ℝ+: positive real numbers; ℕ: natural numbers; ℕ+: positive integers.

COMPONENT published

Arithmetical properties of real numbers related to beta-expansions

JOURNAL ARTICLE published 1 March 2019 in Functiones et Approximatio Commentarii Mathematici

Authors: Hajime Kaneko

Integers

BOOK CHAPTER published 2020 in Real and Complex Numbers for Physicists

Authors: Nicolas A. Pereyra

On numbers having finite beta-expansions

JOURNAL ARTICLE published October 2009 in Ergodic Theory and Dynamical Systems

Authors: TOUFIK ZAÏMI

Congruence of integers

BOOK CHAPTER published 11 December 1997 in An Introduction to Mathematical Reasoning

Unique expansions of real numbers

JOURNAL ARTICLE published June 2009 in Advances in Mathematics

Authors: Martijn de Vries | Vilmos Komornik

Approximation orders of real numbers by $$beta $$-expansions

JOURNAL ARTICLE published October 2020 in Mathematische Zeitschrift

Authors: Lulu Fang | Min Wu | Bing Li

Exact Diophantine approximation of real numbers by $ beta $-expansions

JOURNAL ARTICLE published 2024 in Discrete and Continuous Dynamical Systems

Authors: Xinyun Zhang | Wenmin Zhong

ON PERIODIC EXPANSIONS OF CUBIC NUMBERS AND RAUZY FRACTALS

PROCEEDINGS ARTICLE published July 2000 in Dynamical Systems

Authors: SHUNJI ITO

BETA-EXPANSIONS OF PISOT AND SALEM NUMBERS

PROCEEDINGS ARTICLE published August 2007 in Computer Algebra 2006

Authors: KEVIN G. HARE

Inequalities in Integers

BOOK CHAPTER published 2020 in Real and Complex Numbers for Physicists

Authors: Nicolas A. Pereyra

Additional Properties of Integers

BOOK CHAPTER published 2020 in Real and Complex Numbers for Physicists

Authors: Nicolas A. Pereyra

Differences of Multiple Fibonacci Numbers

JOURNAL ARTICLE published January 2009 in Integers

Authors: Hannah Alpert

ON EXPANSIONS OF REAL NUMBERS INTO INVERSE FACTORIALS AND FIELDS INDUCED BY RELATED METRICS

JOURNAL ARTICLE published 22 July 2015 in JP Journal of Algebra, Number Theory and Applications

Authors: Claude Gauthier

Integers

BOOK CHAPTER published 2023 in The Big Book of Real Analysis

Authors: Syafiq Johar

Some new van der Waerden numbers and some van der Waerden-type numbers

JOURNAL ARTICLE published January 2009 in Integers

Authors: Tanbir Ahmed