Some relations between the Riemann zeta function and the generalized Bernoulli polynomials of level m

Quintana, YamiletTorres Guzmán, Héctor2023-09-152023-09-152019-12-26Quintana, Y., & Torres-Guzmán, H. (2019). Some relations between the Riemann Zeta function and the generalized Bernoulli polynomials of level m. Universal Journal of Mathematics and Applications, 2(4), 188-201.2619-9653https://hdl.handle.net/10016/38351The 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.14engAtribución-NoComercial 3.0 EspañaBernoulli polynomialsEuler-Maclaurin quadrature formulaeGeneralized Bernoulli polynomials of level mQuadrature formulaRiemann zeta functionSome relations between the Riemann zeta function and the generalized Bernoulli polynomials of level mresearch articleMatemáticashttps://doi.org/10.32323/ujma.602178open access1884201Universal Journal of Mathematics and Applications2AR/0000029840