On Positive Integers Represented as Arithmetic Series

Details On Positive Integers Represented as Arithmetic Series On Positive Integers Represented as Arithmetic Series

2008-06-27

arxiv.org/abs/0806.4471v1

Mathematics

General Mathematics

22 pages, 15 tables

Scientific paper

The aim of the present article is to explore the possibilities of representing positive integers as sums of other positive integers and highlight certain fundamental connections between their multiplicative and additive properties. In particular, we shall be concerned with the representation of positive integers as arithmetic series of the simplest kind, i.e., either as sums of successive odd positive numbers, or as sums of successive even positive numbers (both treated as Problem 1), or as sums of consecutive positive integers (treated as Problem 2).

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