Seminars & Colloquia Calendar
r-Complete Sequences of Positive Integers
Edna Jones - Rutgers University
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.