Sums of Consecutive Integers

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
7 pages, 1 table, 3 figures. To appear in the College Journal of Mathematics, March 2007

Keywords

History and Overview, Number Theory, 01A99; 11A99

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/121233

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701149
 http://arxiv.org/abs/math/0701149

Collections

arXiv