Sums of Consecutive Integers
History and Overview
2007-05-23 v1 Number Theory
Abstract
A decomposition of a natural number n is a sequence of consecutive natural numbers that sums to n. We construct a one-to-one correspondence between the odd factors of a natural number and its decompositions. We study the decompositions by their lengths and introduce the concept of length spectrum. Also, we use diagrams to illustrate the ideas behind our proofs.
Cite
@article{arxiv.math/0701149,
title = {Sums of Consecutive Integers},
author = {Wai Yan Pong},
journal= {arXiv preprint arXiv:math/0701149},
year = {2007}
}
Comments
7 pages, 1 table, 3 figures. To appear in the College Journal of Mathematics, March 2007