On the Restricted Divisor Function in Arithmetic Progressions

Details On the Restricted Divisor Function in Arithmetic Progressions On the Restricted Divisor Function in Arithmetic Progressions

2010-03-28

arxiv.org/abs/1003.5347v3

Mathematics

Number Theory

Scientific paper

We obtain several asymptotic estimates for the sums of the restricted divisor function $$ \tau_{M,N}(k) = #\{1 \le m \le M, \ 1\le n \le N: mn = k\} $$ over short arithmetic progressions, which improve some results of J. Truelsen. Such estimates are motivated by the links with the pair correlation problem for fractional parts of the quadratic function $\alpha k^2$, $k=1,2,...$ with a real $\alpha$.

Affiliated with

Also associated with

No associations

Rating

On the Restricted Divisor Function in Arithmetic Progressions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Restricted Divisor Function in Arithmetic Progressions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Restricted Divisor Function in Arithmetic Progressions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-127610