Aufsatz in einer Fachzeitschrift
Irrationality of certain infinite series
Details zur Publikation
Autor(inn)en: | Koepf, W.; Schmersau, D. |
Publikationsjahr: | 2010 |
Zeitschrift: | Analysis |
Seitenbereich: | 27-34 |
Jahrgang/Band : | 30 |
URN / URL: |
Zusammenfassung, Abstract
In this paper a new direct proof for the irrationality of Euler's number e =sum(1/k!,k=0..infinity) is presented. Furthermore, formulas for the base b digits are given which, however, are not computablyeffective. Finally we generalize our method and give a simple criterium for some fastconverging series representing irrational numbers.
In this paper a new direct proof for the irrationality of Euler's number e =sum(1/k!,k=0..infinity) is presented. Furthermore, formulas for the base b digits are given which, however, are not computablyeffective. Finally we generalize our method and give a simple criterium for some fastconverging series representing irrational numbers.
