Aygüneş, Aykut Ahmet2024-08-202024-08-202020978-0-7354-4025-80094-243X10.1063/5.00264742-s2.0-85097975036https://doi.org/10.1063/5.0026474https://hdl.handle.net/20.500.14591/108International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 23-28, 2019 -- Rhodes, GREECEIn this paper, we give two different versions of the Euler-Maclaurin summation formula. By using these formulae, we obtain special series including the Bernoulli numbers and Riemann zeta function. Consequently, we show that this series is calculated by Euler-Mascheroni constant.eninfo:eu-repo/semantics/openAccessBernoulli numbersEuler-Maclaurin formulaEuler-Mascheroni constantConference ObjectN/A2293WOS:000636709500071N/A