Mean values of character sums analogue of Kloosterman sums

Details Mean values of character sums analogue of Kloosterman sums Mean values of character sums analogue of Kloosterman sums

2010-06-22

arxiv.org/abs/1006.4256v3

Mathematics

Number Theory

13 pages

Scientific paper

Let $q$ be a positive integer, $\chi$ a nontrivial character mod $q$, $\mathcal{I}$ an interval of length not exceeding $q.$ In this paper we shall study the character sum analogue of the well-known Kloosterman sum,\[\sum_{\substack{a\in\mathcal{I} \gcd(a,q)=1}}\chi(ma+n\overline{a}),\] where $\overline{a}$ is the multiplicative inverse of $a\bmod q$. The mean square values and bilinear forms for such sums are proved.

Affiliated with

Also associated with

No associations

Rating

Mean values of character sums analogue of Kloosterman sums 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 Mean values of character sums analogue of Kloosterman sums, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mean values of character sums analogue of Kloosterman sums will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-108037