# 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

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,
title = {On Some two way Classifications of Integers},
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.},
year = 1959,
author = {J. Lambek and L. Moser},
comment = {},
urldate = {2020-03-13},
identifier = {doi:10.4153/CMB-1959-013-x},
journal = {Canadian Mathematical Bulletin},
publisher = {Cambridge University Press},
volume = 2,
issue = 2,
issn = {1496-4287},
doi = {10.4153/CMB-1959-013-x},
pages = {85-89},
collections = {Fun maths facts,Integerology}
}