Combinatorical and Algebraic Structures Seminar
Session details
Date: | 10.3.2009 |
Speaker: | Karel Klouda, FJFI, České vysoké učení technické a LIAFA, Université Paris VII |
Title: | Powers of rationals modulo 1 and rational base number systems |
Abstract: | A new method for representing positive integers and real numbers in a rational base is considered. It amounts to computing the digits from right to left, least significant first. Every integer has a unique such expansion. Every real number has at least one such expansion and a countable infinite set of them have more than one. A connection between this rational base number system and the so-called Mahler's problem as well as the possibility of generalization to $p/q$-adic system is briefly introduced. |
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