We show that the height density of a finite sum of fractions is zero. In fact, we give quantitative estimates in terms of the height function. Then, we focus on the unit fraction solutions in the ring ...
A new proof significantly strengthens a decades-old result about the ubiquity of ways to represent whole numbers as sums of fractions. Number theorists are always looking for hidden structure. And ...
It is possible to write any number as a sum of unit fractions (fractions with 1 on top) with different denominators. For example, 3/5 = 1/2 + 1/10. Starting from the expression 1 = 1/6 + 1/6 + 1/6 + 1 ...
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