# On Some two way Classifications of Integers

• Published in 1959
In the collections
In this note we use the method of generating functions to show that there is a unique way of splitting the non-negative integers into two classes in such a way that the sums of pairs of distinct integers will be the same (with same multiplicities) for both classes. We prove a similar theorem for products of positive integers and consider some related problems.

## Other information

key
OnSometwowayClassificationsofIntegers
type
article
2020-03-13
date_published
1959-09-14
identifier
doi:10.4153/CMB-1959-013-x
journal
publisher
Cambridge University Press
volume
2
issue
2
issn
1496-4287
doi
10.4153/CMB-1959-013-x
pages
85-89

### BibTeX entry

@article{OnSometwowayClassificationsofIntegers,
key = {OnSometwowayClassificationsofIntegers},
type = {article},
title = {On Some two way Classifications of Integers},
author = {J. Lambek and L. Moser},
abstract = {In this note we use the method of generating functions to show that there is a unique way of splitting the non-negative integers into two classes in such a way that the sums of pairs of distinct integers will be the same (with same multiplicities) for both classes. We prove a similar theorem for products of positive integers and consider some related problems.},
comment = {},
date_published = {1959-09-14},
}