Im Problem der Summation über Gitterpunkte eines Simplex finden wir ein Analogon der Euler–Maclaurin-Formel für diskrete primitive Funktionen und die Summe.

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Evgeniy K. Leinartas (Sat,) untersuchte diese Frage.

synapsesocial.com/papers/69dbcbfc50e1971baba3cc8f https://doi.org/https://doi.org/10.17516/1997-1397-2022-15-1-108-113

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1A Discrete Analog of Euler's Summation Formula2002 · 5 citations
2Bernoulli Polynomials in Several Variables and Summation of Monomials over Lattice Points of a Rational Parallelotope2016 · 2 citations
3On the rational summation problem2005 · 1 citations
4The Discrete Analog of the Newton-Leibniz Formula in the Problem of Summation over Simplex Lattice Points2019 · 10 citations
5The Riemann-Roch theorem for integrals and sums of quasipolynomials on virtual polytopes1993 · 182 citations

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1A Discrete Analog of Euler's Summation Formula2002 · 5 citations
2Bernoulli Polynomials in Several Variables and Summation of Monomials over Lattice Points of a Rational Parallelotope2016 · 2 citations
3On the rational summation problem2005 · 1 citations
4The Discrete Analog of the Newton-Leibniz Formula in the Problem of Summation over Simplex Lattice Points2019 · 10 citations
5The Riemann-Roch theorem for integrals and sums of quasipolynomials on virtual polytopes1993 · 182 citations