On regular polytope numbers
SCIE
SCOPUS
- Title
- On regular polytope numbers
- Authors
- Kim, HK
- Date Issued
- 2003-01
- Publisher
- AMER MATHEMATICAL SOC
- Abstract
- Lagrange proved a theorem which states that every nonnegative integer can be written as a sum of four squares. This result can be generalized as the polygonal number theorem and the Hilbert-Waring problem. In this paper, we shall generalize Lagrange's sum of four squares theorem further. To each regular polytope V in a Euclidean space, we will associate a sequence of nonnegative integers which we shall call regular polytope numbers, and consider the problem of finding the order g (V) of the set of regular polytope numbers associated to V.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/18889
- DOI
- 10.1090/S0002-9939-02-06710-2
- ISSN
- 0002-9939
- Article Type
- Article
- Citation
- PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 131, no. 1, page. 65 - 75, 2003-01
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