Partition Problems and a Pattern of Vertical Sums

  • Eunice Krinsky California State University, Dominguez Hills
  • Serban Raianu California State University, Dominguez Hills
  • Alexander Wittmond California State University, Dominguez Hills

Abstract

We give a possible explanation for the mystery of a missing number in the statement of a problem that asks for the non-negative integers to be partitioned into three subsets. Based on a pattern of sums of certain elements in the three sets, we find a more standard solution to the problem, using only congruence modulo five. We also show that the original statement plays a special role among all statements that satisfy the same pattern of the sums.

Published
2018-01-05
How to Cite
KRINSKY, Eunice; RAIANU, Serban; WITTMOND, Alexander. Partition Problems and a Pattern of Vertical Sums. The PUMP Journal of Undergraduate Research, [S.l.], v. 1, p. 30-47, jan. 2018. ISSN 2576-3725. Available at: <https://math.csudh.edu/pumpjournal/index.php/pump/article/view/2>. Date accessed: 23 june 2018.