The continued fraction expansion of certain Pierce series

  1. Varona, J.L. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revue:
Journal of Number Theory

ISSN: 0022-314X

Année de publication: 2017

Volumen: 180

Pages: 573-578

Type: Article

DOI: 10.1016/J.JNT.2017.05.005 SCOPUS: 2-s2.0-85024484464 WoS: WOS:000407667800031 GOOGLE SCHOLAR

D'autres publications dans: Journal of Number Theory

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Projets liés

Ortogonalidad, teoría de la aproximación y aplicaciones en física matemática.

2016/00008/001

Résumé

A Pierce series is an alternating sum of the reciprocals of an increasing sequence of positive integers, each one divisible by the previous one. In this short note we study some Pierce series that arise from certain continued fractions. Moreover, we show that the sums of these Pierce series are transcendental numbers. © 2017 Elsevier Inc.