RT Journal Article T1 Some relations between the Riemann zeta function and the generalized Bernoulli polynomials of level m A1 Quintana, Yamilet A1 Torres Guzmán, Héctor AB The main purpose of this paper is to show some relations between the Riemann zeta function and the generalized Bernoulli polynomials of level m. Our approach is based on the use of Fourier expansions for the periodic generalized Bernoulli functions of level m, as well as quadrature formulae of Euler-Maclaurin type. Some illustrative examples involving such relations are also given. PB DergiPark Akademik SN 2619-9653 YR 2019 FD 2019-12-26 LK https://hdl.handle.net/10016/38351 UL https://hdl.handle.net/10016/38351 LA eng NO Research partially supported by Decanato de Investigacion y Desarrollo, Universidad Simón Bolívar, Venezuela, grant DID-USB (S1-IC-CB004-17). DS e-Archivo RD 17 jul. 2024