The continued fraction expansion of certain Pierce series
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Universidad de La Rioja
info
ISSN: 0022-314X
Datum der Publikation: 2017
Ausgabe: 180
Seiten: 573-578
Art: Artikel
Andere Publikationen in: Journal of Number Theory
Projekte im Zusammenhang
Zusammenfassung
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.