On the symmetry of arithmetical functions in almost all short intervals,IV

Details On the symmetry of arithmetical functions in almost all short intervals,IV On the symmetry of arithmetical functions in almost all short intervals,IV

2008-05-14

arxiv.org/abs/0805.1985v1

Mathematics

Number Theory

10 pages

Scientific paper

We study the arithmetic (real) function, with f 'essentially bounded'. In particular, we obtain non-trivial bounds, through f 'correlations', for the 'Selberg integral' and the 'symmetry integral' of f in almost all short intervals $[x-h,x+h]$, $N\le x\le 2N$, beyond the 'classical' level, up to a very high level of distribution (for $h$ not too small). This time we go beyond Large Sieve inequality. Precisely, our method applies Weil bound for Kloosterman sums.

Affiliated with

Also associated with

No associations

Rating

On the symmetry of arithmetical functions in almost all short intervals,IV 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 symmetry of arithmetical functions in almost all short intervals,IV, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the symmetry of arithmetical functions in almost all short intervals,IV will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-55406