On a coloring conjecture about unit fractions

Ernest S. Croot III

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On a coloring conjecture about unit fractions

Ernest S. Croot III

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Abstract

We prove an old conjecture of Erd{\H o}s and Graham on sums of unit fractions: There exists a constant $b>0$ such that if we $r$-color the integers in $2,b^r]$, then there exists a monochromatic set $S$ such that $\sum_{n \in S} 1/n=1$.

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BibTeX RIS

Ernest S. Croot III. 2003-11-24. On a coloring conjecture about unit fractions. https://arxiv.org/abs/math/0311421

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