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

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URI: https://hdl.handle.net/10016/38351
ISSN: 2619-9653
DOI: https://doi.org/10.32323/ujma.602178
UXXI: AR/0000029840
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Relations_UJMA_2019.pdf (473.46 KB)
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2019-12-26
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DergiPark Akademik
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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.
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Bernoulli polynomials, Euler-Maclaurin quadrature formulae, Generalized Bernoulli polynomials of level m, Quadrature formula, Riemann zeta function
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Quintana, 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.
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