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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)].

##### MSC:
 11A67 Other number representations
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##### References:
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