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Full-Text Articles in Applied Mathematics
A Family Of Cantorvals, John Ferdinands, Timothy Ferdinands
A Family Of Cantorvals, John Ferdinands, Timothy Ferdinands
University Faculty Publications and Creative Works
The set of subsums of the series Σn=1∞ xn is known to be one of three types: a finite union of intervals, homeomorphic to the Cantor set, or of the type known as a Cantorval. Bartoszewicz, Filipczak and Szymonik have described a family of series which contained all known examples of subsum sets which are Cantorvals. We construct another family of series which produces new examples of subsum sets which are Cantorvals.