Date of Graduation
Eberly College of Arts and Sciences
Michael E. Mays.
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.
Sutyak, Andrea, "Pierce-Engel hybrid expansions" (2008). Graduate Theses, Dissertations, and Problem Reports. 2718.