The Erdős--Straus conjecture

Abstract: In 1948 Erdős and Straus conjectured that for every integer $n>1$, the fraction $4/n$ is equal to $1/a + 1/b + 1/c$ for some positive integers $a, b, c$. Still unsolved after nearly 80 years, this curious conjecture has been studied by Sierpinksi, Schinzel, Mordell, Vaughan, Elsholtz \& Tao, and many others. This talk will review what is known and discuss some new results. (Joint work with Andreas Weingartner.)

algebraic geometrynumber theory

Audience: researchers in the topic

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Number Theory Web Seminar

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