Finite Sum Representations of Elements in R and R2
In February 2017, a number theoretic problem was posed in Mathematics Magazine by Souvik Dey, a master’s student in India. The problem asked whether it was possible to represent a real number by a finite sum of elements in an open subset of the real numbers that contained one positive and one negative number. This paper not only provides a solutionto the original problem, but proves an analogous statement for elements of R2.
Dominguez, Lewis T. and Bouchat, Rachelle R.
"Finite Sum Representations of Elements in R and R2,"
Electronic Proceedings of Undergraduate Mathematics Day: Vol. 5, Article 2.
Available at: https://ecommons.udayton.edu/epumd/vol5/iss1/2