Sums of Consecutive Integers

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dc.creatorPong, Wai Yan
dc.date2007-01-04
dc.date.accessioned2026-07-07T07:38:50Z
dc.date.available2026-07-07T07:38:50Z
dc.descriptionA 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.
dc.description7 pages, 1 table, 3 figures. To appear in the College Journal of Mathematics, March 2007
dc.identifierhttps://arxiv.org/abs/math/0701149
dc.identifierhttp://arxiv.org/abs/math/0701149
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121233
dc.subjectHistory and Overview
dc.subjectNumber Theory
dc.subject01A99; 11A99
dc.titleSums of Consecutive Integers
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