Additive and multiplicative properties of point sets based on beta-integers
نویسندگان
چکیده
منابع مشابه
Additive and Multiplicative Properties of Beta - Integers
| To each number > 1 there corresponds a discrete countable set of numbers denoted by Z and named set of beta-integers. The set Z is precisely the set of real numbers which are polynomial in when they are written in \basis ", and Z = Zwhen 2 N. We prove here a list of arithmetic properties of Z : addition, multiplication, relation with integers, when is a quadratic Pisot-Vijayaraghavan unit (qu...
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| To each number > 1 correspond abelian groups in R d , of the form = P d i=1 Z e i , which obey. The set Z of beta-integers is a countable set of numbers : it is precisely the set of real numbers which are polynomial in when they are written in \basis ", and Z = Zwhen 2 N. We prove here a list of arithmetic properties of Z : addition, multiplication, relation with integers, when is a quadratic...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2003
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(02)00503-0