Rationality of trace and norm L-functions

Details Rationality of trace and norm L-functions Rationality of trace and norm L-functions

2010-07-29

arxiv.org/abs/1007.5324v4

Mathematics

Number Theory

Scientific paper

For a given l-adic sheaf F on a commutative algebraic group over a finite field k and an integer r we define the r-th local norm L-function of F at a point t in G(k) and prove its rationality. This function gives information on the sum of the local Frobenius traces of F over the points of G(k_r) (where k_r is the extension of degree r of k) with norm t. For G the one-dimensional affine line or the torus, these sums can in turn be used to estimate the number of rational points on curves or the absolute value of exponential sums which are invariant under a large group of translations or homotheties.

Affiliated with

Also associated with

No associations

Rating

Rationality of trace and norm 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 Rationality of trace and norm L-functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rationality of trace and norm L-functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-699556