IJPAM: Volume 85, No. 1 (2013)
UNIT FRACTIONS THAT SUM TO 1
Yutaka Nishiyama
Department of Business Information
Faculty of Information Management
Osaka University of Economics
2, Osumi Higashiyodogawa Osaka, 533-8533, JAPAN
Department of Business Information
Faculty of Information Management
Osaka University of Economics
2, Osumi Higashiyodogawa Osaka, 533-8533, JAPAN
Abstract. This paper presents and solves a problem related to decomposing 1 into a sum of unit fractions. Decomposition into two terms, composition of two terms, decomposition into three terms, and other methods are used to find ways to maximize the number of unique terms, and a decomposition into 42 terms is demonstrated.
Received: December 21, 2012
AMS Subject Classification: 11A02, 97F40, 00A08
Key Words and Phrases: unit fraction, perfect number, hyperbola, integral, log function
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DOI: 10.12732/ijpam.v85i1.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 85
Issue: 1
