Journal of Siberian Federal University. Mathematics & Physics / The Euler-Maclaurin Formula in the Problem of Summation over Lattice Points of a Simplex

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (1)
Authors
Leinartas, Evgeniy K.; Shishkina, Olga A.
Contact information
Leinartas, Evgeniy K.: Siberian Federal University Krasnoyarsk, Russian Federation; Shishkina, Olga A.: Siberian Federal University Krasnoyarsk, Russian Federation;
Keywords
summation of functions; a discrete primitive function; the Euler–Maclaurin formula
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

Pages
108–113
DOI
10.17516/1997-1397-2022-15-1-108-113
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/144950