# Seminars & Colloquia Calendar

## r-Complete Sequences of Positive Integers

#### Edna Jones - Rutgers University

Location:  GSL
Date & time: Wednesday, 28 March 2018 at 12:15PM - 1:15PM

Abstract:  A strictly increasing sequence of positive integers $$(a_n)$$ is said to be (weakly) complete if every sufficiently large positive integer is representable as a sum of distinct terms of $$(a_n)$$.  We extend this concept by saying a sequence (a_n) is r-complete if every sufficiently large positive integer is representable as the sum of r or more distinct elements from $$(a_n)$$.  We establish a number of results related to r-complete sequences. In particular, for any positive integer r we construct an example of a sequence which is r-complete but not (r+1)-complete.

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