Values of zeta functions at negative integers, Dedekind sums and toric geometry

Details Values of zeta functions at negative integers, Dedekind sums and toric geometry Values of zeta functions at negative integers, Dedekind sums and toric geometry

1997-05-23

arxiv.org/abs/alg-geom/9705021v2

Mathematics

Algebraic Geometry

LaTeX2e, 24 pages with 3 figures

Scientific paper

This is an expanded version. We study relations among special values of zeta functions, invariants of toric varieties, and generalized Dedekind sums. In particular, we use invariants arising in the Todd class of a toric variety to give a new explicit formula for the values of the zeta function of a real quadratic field at nonpositive integers. We also express these invariants in terms of the generalized Dedekind sums studied previously by several authors. The paper includes conceptual proofs of the above mentioned relations and explicit computations of the various zeta values and Dedekind sums involved.

Affiliated with

Also associated with

No associations

Rating

Values of zeta functions at negative integers, Dedekind sums and toric geometry 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 Values of zeta functions at negative integers, Dedekind sums and toric geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Values of zeta functions at negative integers, Dedekind sums and toric geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-205067