# The number of representations of rationals as a sum of unit fractions

Browning TD, Elsholtz C. 2011. The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. 55(2), 685–696.

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*Journal Article*|

*Published*|

*English*

Author

Browning, Timothy D

^{IST Austria}^{}; Elsholtz, ChristianAbstract

For given positive integers m and n, we consider the frequency of representations of m/n as a sum of unit fractions.

Publishing Year

Date Published

2011-07-01

Journal Title

Illinois Journal of Mathematics

Volume

55

Issue

2

Page

685 - 696

IST-REx-ID

### Cite this

Browning TD, Elsholtz C. The number of representations of rationals as a sum of unit fractions.

*Illinois Journal of Mathematics*. 2011;55(2):685-696.Browning, T. D., & Elsholtz, C. (2011). The number of representations of rationals as a sum of unit fractions.

*Illinois Journal of Mathematics*. University of Illinois Press.Browning, Timothy D, and Christian Elsholtz. “The Number of Representations of Rationals as a Sum of Unit Fractions.”

*Illinois Journal of Mathematics*. University of Illinois Press, 2011.T. D. Browning and C. Elsholtz, “The number of representations of rationals as a sum of unit fractions,”

*Illinois Journal of Mathematics*, vol. 55, no. 2. University of Illinois Press, pp. 685–696, 2011.Browning, Timothy D., and Christian Elsholtz. “The Number of Representations of Rationals as a Sum of Unit Fractions.”

*Illinois Journal of Mathematics*, vol. 55, no. 2, University of Illinois Press, 2011, pp. 685–96.