A Note on Expansions of Rational Numbers by Certain Series

Author:

Serbenyuk Symon1

Affiliation:

1. Vinnytsia , Ukraine

Abstract

Abstract This paper deals with representations of rational numbers defined in terms of numeral systems that are certain generalizations of the classical q-ary numeral system.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference7 articles.

1. [1] CANTOR, G.: Ueber die einfachen Zahlensysteme,Z. Math. Phys. 14 (1869), 121–128. (In German)

2. [2] DIANANDA, P. H.—OPPENHEIM, A.: Criteria for irrationality of certain classes of numbers II,Amer. Math.Monthly 62 (1955), no. 4, 222–225.

3. [3] ERDŐS, P.—STRAUS, E. G.: On the irrationality of certain series,Pacific J.Math. 55 (1974), no. 1, 85–92.

4. [4] HANČL, J.: A note to the rationality of infinite series I, Acta Math. Inf. Univ. Ostrav.5 (1997), no. 1, 5–11.

5. [5] HANČL, J.—RUCKI, P.: A note to the transcendence of special infinite series,Math. Slovaca 56 (2006), no. 4, 409–414.

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