摘要
Let n≥1 and r≥2 be integers and let d<sub>r</sub>(n) denote the number of ordered r-tuples (n<sub>1</sub>,…,n<sub>r</sub>) of natural numbers for which multiply from 1≤j≤r (n<sub>j</sub>)=n For (a,q)=1,define D<sub>r</sub>(X,q,a)=sum from n≤X n≡a(modg) (d<sub>r</sub>(n)). We are interested in finding numbers θ<sub>r</sub> as large as possible such that the following statement holds.
基金
Project supported by the National Natnral Science Foundation of China