Proceedings of the 2017 Undergraduate Mathematics Day
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" (2018). Undergraduate Mathematics Day: Proceedings and Other Materials. 31.