2011/07/30 by Jing-Jing Huang, Huang, Jing-Jing, Robert C. Vaughan +1
Mathematics · #11D68 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11D68
paper · pdf · doi:10.48550/arxiv.1108.0096
16 pages, to appear in J. Number Theory
arxiv created 2011/07/30 · arxiv updated 2011/08/02
In this paper, we establish two mean value theorems for the number of solutions of the Diophantine equation (a)/(n)=(1)/(x)+(1)/(y), in the case when a is fixed and n varies and in the case when both a and n vary.