Semester
Spring
Date of Graduation
2008
Document Type
Dissertation
Degree Type
PhD
College
Eberly College of Arts and Sciences
Department
Mathematics
Committee Chair
Michael E. Mays.
Abstract
Pierce and Engel expansions are representations of numbers between 0 and 1 as sums of unitary fractions (of alternating signs in the case of Pierce) whose denominators are built multiplicatively, choosing the successive factors greedily. We show some results for Pierce expansions, and investigate the idea of hybrid expansions, which are built similarly but without regard to the signs of the terms.
Recommended Citation
Sutyak, Andrea, "Pierce-Engel hybrid expansions" (2008). Graduate Theses, Dissertations, and Problem Reports. 2718.
https://researchrepository.wvu.edu/etd/2718
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