Asymptotic Euler-Maclaurin formula over lattice polytopes

Details Asymptotic Euler-Maclaurin formula over lattice polytopes Asymptotic Euler-Maclaurin formula over lattice polytopes

2009-08-21

arxiv.org/abs/0908.3073v5

Mathematics

Combinatorics

35 pages. Results in the previous version are generalized to lattice polytopes. Some further results are added. The title is c

Scientific paper

An asymptotic expansion formula of Riemann sums over lattice polytopes is given. The formula is an asymptotic form of the local Euler-Maclaurin formula due to Berline-Vergne. The proof given here for Delzant lattice polytopes is independent of the local Euler-Maclaurin formula. But we use it for general lattice polytopes. As corollaries, an explicit formula for each term in the expansion over Delzant polytopes in two dimension and an explicit formula for the third term of the expansion for Delzant polytopes in arbitrary dimension are given. Moreover, some uniqueness results are given.

Affiliated with

Also associated with

No associations

Rating

Asymptotic Euler-Maclaurin formula over lattice polytopes 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 Asymptotic Euler-Maclaurin formula over lattice polytopes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic Euler-Maclaurin formula over lattice polytopes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-666448