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.
@article{JSFU_2022_15_1_a11,
author = {Evgeniy K. Leinartas and Olga A. Shishkina},
title = {The {Euler--Maclaurin} formula in the problem of summation over lattice points of a simplex},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {108--113},
publisher = {mathdoc},
volume = {15},
number = {1},
year = {2022},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2022_15_1_a11/}
}
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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/