Yamilet Quintana, Héctor Torres-Guzmán
Published 2019-01-10Version 1
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.
Some applications of the Dirichlet integrals to the summation of series and the evaluation of integrals involving the Riemann zeta function
An asymptotic approximation for the Riemann zeta function revisited
Weyl Asymptotics for Perturbations of Morse Potential and Connections to the Riemann Zeta Function
![QR code for arXiv:1901.03700 [math.CA]](http://oss.arxitics.com/images/favicon.svg)