Sums of numbers with small partial quotients
S. Astels · Proceedings of the American Mathematical Society · 2001
In a paper of James Hlavka it is stated that F ( 3 ) + F ( 2 ) + F ( 2 ) ≠ R F(3)+F(2)+F(2) eq \mathbb {R} . In this manuscript we show that this is false by establishing that F ( 3 ) ± F ( 2 ) ± F ( 2 ) = R F(3)\pm F(2)\pm F(2)=\mathbb {R} . We also describe the corresponding products and quotients.