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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A short proof of Cauchy's polygonal number theorem


Author: Melvyn B. Nathanson
Journal: Proc. Amer. Math. Soc. 99 (1987), 22-24
MSC: Primary 11B83
DOI: https://doi.org/10.1090/S0002-9939-1987-0866422-3
MathSciNet review: 866422
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Abstract: This paper presents a simple proof that every nonnegative integer is the sum of $ m + 2$ polygonal numbers of order $ m + 2$.


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DOI: https://doi.org/10.1090/S0002-9939-1987-0866422-3
Keywords: Polygonal numbers, sums of squares, Cauchy-Fermat theorem
Article copyright: © Copyright 1987 American Mathematical Society