Sums of numbers with small partial quotients

Astels, S.

doi:10.1090/S0002-9939-01-06136-6

Sums of numbers with small partial quotients
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Proc. Amer. Math. Soc. 130 (2002), 637-642 Request permission

Abstract:

In a paper of James Hlavka it is stated that $F(3)+F(2)+F(2)\neq \mathbb {R}$. In this manuscript we show that this is false by establishing that $F(3)\pm F(2)\pm F(2)=\mathbb {R}$. We also describe the corresponding products and quotients.

References

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