Publication detail

Every positive integer is a sum of at most n+2 centered n-gonal numbers

WARREN, B. KUREŠ, M.

Original Title

Every positive integer is a sum of at most n+2 centered n-gonal numbers

Type

journal article in Web of Science

Language

English

Original Abstract

It is proved that every positive integer can be expressed as a sum of at most n+2 centered n-gonal numbers. Some specifying and generalizing results are added to this.

Keywords

centered n-gonal number, polygonal number theorem, figurate number, addititve number theory

Authors

WARREN, B.; KUREŠ, M.

Released

1. 6. 2025

Publisher

De Gruyter

Location

Berlin

ISBN

1337-2211

Periodical

Mathematica Slovaca

Year of study

75

Number

3

State

Slovak Republic

Pages from

515

Pages to

524

Pages count

10

URL

https://www.degruyterbrill.com/document/doi/10.1515/ms-2025-0037/html

BibTex

@article{BUT198089,
  author="Benjamin Lee {Warren} and Miroslav {Kureš}",
  title="Every positive integer is a sum of at most n+2 centered n-gonal numbers",
  journal="Mathematica Slovaca",
  year="2025",
  volume="75",
  number="3",
  pages="515--524",
  doi="10.1515/ms-2025-0037",
  issn="1337-2211",
  url="https://www.degruyterbrill.com/document/doi/10.1515/ms-2025-0037/html"
}