New bounds on the length of finite Pierce and Engel series. (English) Zbl 0727.11003

The authors give estimates on the length of Engel series expansions for rational \(x\). The upper and lower bounds are widely separated. The method of estimation of the length is extended to alternating Engel series which is also known as Pierce expansions. For a large variety of results on Engel series as a special case of a general series expansion, see the reviewer [Representations of real numbers by infinite series, Lect. Notes Math. 502. Berlin etc.: Springer-Verlag (1976; Zbl 0322.10002)].


11A67 Other number representations


Zbl 0322.10002
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