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87.02 Sums of consecutive positive integers

Published online by Cambridge University Press:  01 August 2016

Tom M. Apostol
Tom M. Apostol*
Affiliation:
Project Mathematics, California Institute of Technology, Pasadena, CA 91125 USA. email: apostol@caltech.edu
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Information
The Mathematical Gazette , Volume 87 , Issue 508 , March 2003 , pp. 98 - 101
Copyright
Copyright © The Mathematical Association 2003

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References

1. Dickson, L. E., History of the theory of numbers, Vol. 2, Carnegie Institution of Washington, Washington, D.C. (1919); reprinted by Chelsea, New York (1966).Google Scholar
2. Sylvester, J. J., A constructive theory of partitions, arranged in three acts, an interact and an exodion, Amer. J. Math. 5 (1882) pp. 251–330.CrossRefGoogle Scholar
3. Mason, T. E., On the representation of an integer as the sum of consecutive integers, Amer. Math. Monthly 19 (1912) pp. 46–50.CrossRefGoogle Scholar
4. Bush, L. E., On the expression of an integer as the sum of an arithmetic series Amer. Math. Monthly 37 (1930) pp. 353–357.CrossRefGoogle Scholar