The Euler-Maclaurin formula for simple integral polytopes

Yael Karshon; Shlomo Sternberg; Jonathan Weitsman

doi:10.1073/pnas.0237168100

The Euler-Maclaurin formula for simple integral polytopes

Yael Karshon
, Shlomo Sternberg^*
, Jonathan Weitsman

^*Corresponding author for this work

Hebrew University of Jerusalem
University of Toronto
Harvard University
University of California at Santa Cruz

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We give a Euler-Maclaurin formula with remainder for the sum of a smooth function on the integral points in a simple integral lattice polytope. Our proof uses elementary methods.

Original language	English
Pages (from-to)	426-433
Number of pages	8
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	100
Issue number	2
DOIs	https://doi.org/10.1073/pnas.0237168100
State	Published - 21 Jan 2003
Externally published	Yes

Access to Document

10.1073/pnas.0237168100

Cite this

@article{8f21ab999aa7402d85bf65c1f6926e3c,

title = "The Euler-Maclaurin formula for simple integral polytopes",

abstract = "We give a Euler-Maclaurin formula with remainder for the sum of a smooth function on the integral points in a simple integral lattice polytope. Our proof uses elementary methods.",

author = "Yael Karshon and Shlomo Sternberg and Jonathan Weitsman",

year = "2003",

month = jan,

day = "21",

doi = "10.1073/pnas.0237168100",

language = "אנגלית",

volume = "100",

pages = "426--433",

journal = "Proceedings of the National Academy of Sciences of the United States of America",

issn = "0027-8424",

publisher = "National Academy of Sciences",

number = "2",

}

TY - JOUR

T1 - The Euler-Maclaurin formula for simple integral polytopes

AU - Karshon, Yael

AU - Sternberg, Shlomo

AU - Weitsman, Jonathan

PY - 2003/1/21

Y1 - 2003/1/21

N2 - We give a Euler-Maclaurin formula with remainder for the sum of a smooth function on the integral points in a simple integral lattice polytope. Our proof uses elementary methods.

AB - We give a Euler-Maclaurin formula with remainder for the sum of a smooth function on the integral points in a simple integral lattice polytope. Our proof uses elementary methods.

UR - https://www.scopus.com/pages/publications/0037457879

U2 - 10.1073/pnas.0237168100

DO - 10.1073/pnas.0237168100

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

C2 - 12515861

AN - SCOPUS:0037457879

SN - 0027-8424

VL - 100

SP - 426

EP - 433

JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

IS - 2

ER -

The Euler-Maclaurin formula for simple integral polytopes

Abstract

Access to Document

Other files and links

Fingerprint

Cite this