Geodesic
The Euler--Maclaurin formula in the problem of summation over lattice points of a simplex
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 1, pp. 108-113

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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.
Keywords: summation of functions, a discrete primitive function, the Euler–Maclaurin formula. 
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Evgeniy K. Leinartas; Olga A. Shishkina. The Euler--Maclaurin formula in the problem of summation over lattice points of a simplex. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 1, pp. 108-113. http://geodesic.mathdoc.fr/item/JSFU_2022_15_1_a11/