The Discrete Analog of the Newton-Leibniz Formula in the Problem of Summation over Simplex Lattice Points

DOI10.17516/1997-1397-2019-12-4-503-508OpenAlexW2971226639WikidataQ122964320 ScholiaQ122964320MaRDI QIDQ5853418

Ol'ga Andreevna Shishkina, Evgeniĭ Konstantinovich Leĭnartas

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu779

zbMATH Keywords

summation of functionsdiscrete primitive functiondiscrete analog of Newton-Leibniz formula

Mathematics Subject Classification ID

Combinatorics (05-XX) Number theory (11-XX)

Related Items (3)

The Euler-Maclaurin Formula in the Problem of Summation over Lattice Points of a Simplex ⋮ Multidimensional analogues of the Euler-Maclaurin summation formula and the Borel transform of power series ⋮ Unnamed Item

Cites Work

• The Euler-Maclaurin formula for rational parallelotope
• Bernoulli polynomials in several variables and summation of monomials over lattice points of a rational parallelotope
• A discrete analogue of Euler's summation formula
• A discrete analog of the Poisson summation formula
• On the rational summation problem
• Lattice points in simple polytopes
• Residue formulae, vector partition functions and lattice points in rational polytopes
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