On 4/n=1/x + 1/y + 1/z and Iwaniec′ Half Dimensional Sieve

✍ Scribed by J.W. Sander

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 331 KB
• Volume: 46
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1994.1008

✦ Synopsis

A well-known conjecture says that for any integer (n>1) the equation (4 / n=) (1 / x+1 / y+1 / z) has a solution in positive integers (x, y), and (z). By use of sieve methods we prove some asymptotic formulae and lower bounds for certain exceptional sets related to this problem. 1994 Academic Press, Inc.