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On the number of solutions of the Diophantine equation \(\sum_{i=1}^n\frac{1}{i}=1\)

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Publication:1878826
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DOI10.1023/B:MAHU.0000010822.30987.e7zbMath1047.11031OpenAlexW2000621515MaRDI QIDQ1878826

Csaba Sándor

Publication date: 8 September 2004

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:mahu.0000010822.30987.e7


zbMATH Keywords

Egyptian fractionssum of unit fractions


Mathematics Subject Classification ID

Rational numbers as sums of fractions (11D68)


Related Items

The number of representations of rationals as a sum of unit fractions ⋮ Counting arithmetical structures on paths and cycles ⋮ The number of solutions of the Erdős-Straus Equation and sums ofkunit fractions ⋮ On arithmetical structures on complete graphs ⋮ COUNTING THE NUMBER OF SOLUTIONS TO THE ERDŐS–STRAUS EQUATION ON UNIT FRACTIONS ⋮ Double exponential lower bound for the number of representations of unity by Egyptian fractions ⋮ Difference between families of weakly and strongly maximal integral lattice-free polytopes



Cites Work

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  • Egyptian Fractions
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