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

Aldizkaria:
Journal of Number Theory

ISSN: 0022-314X

Argitalpen urtea: 2017

Alea: 180

Orrialdeak: 573-578

Mota: Artikulua

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

Beste argitalpen batzuk: Journal of Number Theory

Gordailu instituzionala: lock_openSarbide irekia Postprint lockSarbide irekia Editor

Lotura duten proiektuak

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

2016/00008/001

Laburpena

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.