dimacs logo color

Events

Event Calendar

« Previous Month

August 2026

Next Month »
Sun Mon Tue Wed Thu Fri Sat
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31

Seminar Details

r-Complete Sequences of Positive Integers

  • Start Date: March 28, 2018
  • Event Start Time: 12:10 PM
  • Event End Time: 1:00 PM
  • Seminar Series: Graduate Combinatorics Seminar
  • Presenter(s): Edna Jones - Rutgers University
  • Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
  • Presentation Type: Stand Alone Presentation
  • 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.