Evgeniy K. Leinartas, Olga A. Shishkina, “The Euler–Maclaurin formula in the problem of summation over lattice points of a simplex”, J. Sib. Fed. Univ. Math. Phys., 2022, Volume 15, Issue 1,Pages <nobr>108

The Euler–Maclaurin formula in the problem of summation over lattice points of a simplex

Evgeniy K. Leinartas, Olga A. Shishkina

Siberian Federal University, Krasnoyarsk, Russian Federation

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.

Keywords: summation of functions, a discrete primitive function, the Euler–Maclaurin formula.

UDC: 517.55+517.962.26

Received: 29.07.2021
Received in revised form: 09.08.2021
Accepted: 15.09.2021

Language: English

DOI: 10.17516/1997-1397-2022-15-1-108-113