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

Revista:
Journal of Number Theory

ISSN: 0022-314X

Any de publicació: 2017

Volum: 180

Pàgines: 573-578

Tipus: Article

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

Altres publicacions en: Journal of Number Theory

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

2016/00008/001

Resum

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.