AN OVERLOOKED IDENTITY IN NUMBER THEORY

Stevo Bozinovski

Abstract


It is pointed out toward an overlooked identity in Number Theory. Using the observed identity, a new result in Number Theory is obtained, and a new proof of a previously known result is given. Educational aspects are also dis-cussed, pointing toward possible explanation why the observed identity, which looks trivial once observed, has not been pointed out so far.

Keywords


Number Theory; overlooked identity; sum of numbers; alternate sum of squares; Plimpton 322

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References


E. Robson, Neither Sherlock Holmes nor Baby-lon: A reassessment of Plimpton 322. Historia Mathematica, 28: 167-206, 2001.

J. Watkins, Number Theory: A Historical Ap-proach. Princeton University Press, 2013.

G. Andrews, Number Theory, Dover Publications, 1971.

U. Dudley, Elementary Number Theory, Dover Publications, 1969.

C. Moreno, S. Wagstaff, Sums of Squares of In-tegers, Chapman and Hall, 2006.




DOI: http://dx.doi.org/10.20903/csnmbs.masa.2014.35.1.54

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