On Some two way Classifications of Integers
- Published in 1959
- Added on
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.
Links
- https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/on-some-two-way-classifications-of-integers/C36087ADE965C59BE843D73B9FA11A87#
- https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C36087ADE965C59BE843D73B9FA11A87/S0008439559051116a.pdf/div-class-title-on-some-two-way-classifications-of-integers-div.pdf
Other information
- key
- OnSometwowayClassificationsofIntegers
- type
- article
- date_added
- 2020-03-13
- date_published
- 1959-04-10
- 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
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_added = {2020-03-13},
date_published = {1959-04-10},
urls = {https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/on-some-two-way-classifications-of-integers/C36087ADE965C59BE843D73B9FA11A87{\#},https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C36087ADE965C59BE843D73B9FA11A87/S0008439559051116a.pdf/div-class-title-on-some-two-way-classifications-of-integers-div.pdf},
collections = {Fun maths facts,Integerology},
url = {https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/on-some-two-way-classifications-of-integers/C36087ADE965C59BE843D73B9FA11A87{\#} https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C36087ADE965C59BE843D73B9FA11A87/S0008439559051116a.pdf/div-class-title-on-some-two-way-classifications-of-integers-div.pdf},
year = 1959,
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}
}