# On the number of integers representable as sums of unit fractions, III

Hisashi Yokota

2 引用 (Scopus)

### 抄録

Let N(n) be the set of all integers that can be expressed as a sum of reciprocals of distinct integers <n. Then we prove that for sufficiently large n, log n + γ - (3/π2 + o(1)) log n (log n)/(log2 n)2 ≤ (n) , which improves the lower bound given by Croot.

元の言語 English 351-372 22 Journal of Number Theory 96 2 https://doi.org/10.1016/S0022-314X(02)92797-6 Published - 2002 10 1 Yes

### ASJC Scopus subject areas

• Algebra and Number Theory

### これを引用

On the number of integers representable as sums of unit fractions, III. / Yokota, Hisashi.

：: Journal of Number Theory, 巻 96, 番号 2, 01.10.2002, p. 351-372.

Yokota, Hisashi. / On the number of integers representable as sums of unit fractions, III. ：: Journal of Number Theory. 2002 ; 巻 96, 番号 2. pp. 351-372.
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