AN EULER-MACLAURIN FORMULA FOR RATIONAL C ONVEX POLYTOPES

Authors
BRION M VERGNE M
Citation
M. Brion et M. Vergne, AN EULER-MACLAURIN FORMULA FOR RATIONAL C ONVEX POLYTOPES, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(4), 1996, pp. 317-320
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
322
Issue
4
Year of publication
1996
Pages
317 - 320
Database
ISI
SICI code
0764-4442(1996)322:4<317:AEFFRC>2.0.ZU;2-N
Abstract
We generalize the Euler-MacLaurin summation formula by computing the s um of values of a polynomial function at all lattice points of an arbi trary rational convex polytope.