On \(4/n= 1/x+ 1/y+1/z\) and Iwaniec' half dimensional sieve

DOI10.1006/jnth.1994.1008zbMath0796.11040OpenAlexW2070226790WikidataQ29012725 ScholiaQ29012725MaRDI QIDQ1320499

Jürgen Sander

Publication date: 29 September 1994

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1994.1008

zbMATH Keywords

Egyptian fractionsErdős-Straus conjectureBombieri's theoremHalberstam's conjectureinsolubility of special diophantine equationsIwaniec's half-dimensional sieveSelberg's upper bound sieve methodWirsing's theorem on sums of nonnegative multiplicative functions

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Rational numbers as sums of fractions (11D68)

Related Items (4)

On \(\frac{1}{w} + \frac{1}{x} + \frac{1}{y} + \frac{1}{z} = \frac{1}{2}\) and some of its generalizations ⋮ Sums of $k$ unit fractions ⋮ A note on the Erdős-Straus conjecture ⋮ COUNTING THE NUMBER OF SOLUTIONS TO THE ERDŐS–STRAUS EQUATION ON UNIT FRACTIONS

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