Continued fractions and irrationality exponents for modified Engel and Pierce series

An Engel series is a sum of reciprocals of a non-decreasing sequence ( x n ) of positive integers, which is such that each term is divisible by the previous one, and a Pierce series is an alternating sum of the reciprocals of a sequence with the same property. Given an arbitrary rational number, we...

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Veröffentlicht in:	Monatshefte für Mathematik 2019-11, Vol.190 (3), p.501-516
Hauptverfasser:	Hone, Andrew N. W., Varona, Juan Luis
Format:	Artikel
Sprache:	eng
Schlagworte:	Irrationality Mathematics Mathematics and Statistics Numbers
Online-Zugang:	Volltext
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