The number of solutions of the Erdős-Straus Equation and sums of<i>k</i>unit fractions

Christian Elsholtz, Stefan Planitzer

Type: Article

Publication Date: 2019-01-30

Citations: 5

DOI: https://doi.org/10.1017/prm.2018.137

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Locations

Proceedings of the Royal Society of Edinburgh Section A Mathematics - View

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+ PDF Chat	Bounding the number of arithmetical structures on graphs	2021	Christopher Keyes Tomer Reiter
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Works Cited by This (24)

Action	Title	Year	Authors
+ PDF Chat	Unsolved Problems in Number Theory	1994	Richard K. Guy
+ PDF Chat	The number of representations of rationals as a sum of unit fractions	2011	T. D. Browning Christian Elsholtz
+ PDF Chat	On the Diophantine equation 1 =∑1<i>∕n</i><sub><i>i</i></sub>+ 1<i>∕</i>∏<i>n</i><sub><i>i</i></sub>and a class of homologically trivial complex surface singularities	1988	Lawrence Brenton Richard Hill
+	On the number of solutions of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mo>∑</mml:mo></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow></mml:msubsup><mml:mfrac><mml:mn>1</mml:mn><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mfrac><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math>in …	2013	Rafael Arce Fernando Castro Raúl Figueroa
+	On the number of solutions of the Diophantine equation	2003	Csaba Sándor
+	Dense Egyptian fractions	1999	Greg Martin
+ PDF Chat	Egyptian fractions with restrictions	2012	Yong-Gao Chen Christian Elsholtz Jiang Lili
+	Double exponential lower bound for the number of representations of unity by Egyptian fractions	2014	Sergeĭ Konyagin
+	Introduction à la théorie analytique et probabiliste des nombres	2015	Gérald Tenenbaum
+ PDF Chat	On finite sums of reciprocals of distinct<i>n</i>th powers	1964	Ronald Graham