Exact Euler–Maclaurin formulas for simple lattice polytopes-Reference-Cited by-同舟云学术

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Exact Euler–Maclaurin formulas for simple lattice polytopes

Published:2007-07 Issue:1 Volume:39 Page:1-50
ISSN:0196-8858
Container-title:Advances in Applied Mathematics
language:en
Short-container-title:Advances in Applied Mathematics

Author:

Karshon Yael,Sternberg Shlomo,Weitsman Jonathan

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference45 articles.

1. The weighted Euler–Maclaurin formula for a simple integral polytope;Agapito;Asian J. Math.,2005

2. A Course in Convexity;Barvinok,2002

3. An algorithmic theory of lattice points in polyhedra;Barvinok,1999

4. The Frobenius problem, rational polytopes, and Fourier–Dedekind sums;Beck;J. Number Theory,2002

5. J. Bernoulli, Ars conjectandi, Basel, 1713

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1. COMPACTNESS OF INTEGRAL OPERATORS AND UNIFORM;Revue Roumaine Mathematiques Pures Appliquees;2024-06-30

2. Euler–MacLaurin Summation Formula on Polytopes and Expansions in Multivariate Bernoulli Polynomials;Journal of Fourier Analysis and Applications;2023-05-30

3. Singular Euler–Maclaurin expansion on multidimensional lattices;Nonlinearity;2022-06-17

4. On the Efficient Computation of Large Scale Singular Sums with Applications to Long-Range Forces in Crystal Lattices;Journal of Scientific Computing;2021-12-17

5. An Euler-MacLaurin formula for polygonal sums;Transactions of the American Mathematical Society;2021-10-08

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