The reciprocity law for the twisted second moment of Dirichlet L-functions

Details The reciprocity law for the twisted second moment of Dirichlet L-functions The reciprocity law for the twisted second moment of Dirichlet L-functions

2007-08-21

arxiv.org/abs/0708.2928v1

Mathematics

Number Theory

12 pages

Scientific paper

We produce a new proof of the reciprocity law for the twisted second moment of Dirichlet L-functions that was recently proved by Conrey. Our method is to analyze certain two-variable sums where the variables satisfy a linear congruence. We show that these sums satisfy an elegant reciprocity formula. In the case that the modulus is prime, these sums are closely related to the twisted second moment, and the reciprocity formula for these sums implies Conrey's reciprocity formula. We also extend the range of uniformity of Conrey's formula.

Affiliated with

Also associated with

No associations

Rating

The reciprocity law for the twisted second moment of Dirichlet L-functions 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 The reciprocity law for the twisted second moment of Dirichlet L-functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The reciprocity law for the twisted second moment of Dirichlet L-functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-135411