The Euler-Maclaurin Formula in the Problem of Summation over Lattice Points of a Simplex
Evgeniy K. Leinartas
Abstract
In the problem of summation over lattice points of a simplex we find an analog of the Euler–Maclaurin formula for discrete primitive function and the sum
Topics & Concepts
SimplexEuler's formulaEuler summationMathematicsLattice (music)Mathematical analysisPure mathematicsCombinatoricsEuler equationsBackward Euler methodPhysicsSemi-implicit Euler methodAcousticsadvanced mathematical theoriesDifferential Equations and Boundary ProblemsAdvanced Mathematical Identities