Proceedings of the American Mathematical Society

Author(s): Hyun Kwang Kim
Journal: Proc. Amer. Math. Soc. 131 (2003), 65-75.
MSC (2000): Primary 11B13, 11B75, 11P05
Posted: June 12, 2002
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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

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

of the set of regular polytope numbers associated to

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 11B13, 11B75, 11P05

Hyun Kwang Kim
Affiliation: Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784 Korea
Email: hkkim@postech.ac.kr

DOI: 10.1090/S0002-9939-02-06710-2
PII: S 0002-9939(02)06710-2
Received by editor(s): August 20, 2001
Posted: June 12, 2002
Additional Notes: This work was supported by Com$^2$MaC-KOSEF
Communicated by: David E. Rohrlich
Copyright of article: Copyright 2002, American Mathematical Society

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