논문KCI 등재
The values of an Euler sum at the negative integers and a relation to a certain convolution of Bernoulli numbers
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The paper deals with the values at the negative integers ofa certain Dirichlet series related to the Riemann zeta function and withthe expression of these values in terms of Bernoulli numbers.
Abstract
The paper deals with the values at the negative integers ofa certain Dirichlet series related to the Riemann zeta function and withthe expression of these values in terms of Bernoulli numbers.
참고문헌 (7)
- Tom. M. Apostol, "Dirichlet series related to the Riemann zeta function", Journal of Number Theory, 19(1), pp.85~102 (1984)
- K. N. Boyadzhiev, "Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals", Applied Mathematics and Computation, 186(2), pp.1559~1571 (2007)
- K. N. Boyadzhiev, "Consecutive evaluation of Euler sums", International Journal of Mathematics and Mathematical Sciences, 29(9), pp.555~561 (2002)
- R. L. Graham, "Concrete Mathematics" (1994), Addison-Wesley Publishing Company
- Y. Matsuoka, "On the values of a certain Dirichlet series at rational integers", TOKYO JOURNAL MATHEMATICS, 5(2), pp.399~403 (1982)
- H. Pan, "New identities involving Bernoulli and Euler polynomials", Journal of Combinatorial Theory Series A, 113(1), pp.156~175 (2006)
- H. M. Srivastava, "Series Associated with the Zeta and Related Functions" (2001), Kluwer Academic Publishers
관련 논문AI추천
On the multiple Hurwitz-Euler eta functions and the sums of products of the Euler numbers손진우대한수학회 · 대한수학회보2014 · 제51권 제2호IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS김태균, Bayad장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제2호SOME IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS김태균장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제1호Some results on parametric Euler sumsCe Xu대한수학회 · 대한수학회보2017 · 제54권 제4호Some closed formulas for generalizations of Bernoulli and Euler numbers and polynomialsH. Yang, Z. Zhang장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2008 · 제11권 제2호Special values and integral representations for the Hurwitz-type Euler zeta functions김대열, 김민수, Su Hu대한수학회 · 대한수학회지2018 · 제55권 제1호
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