EXTENSIONS OF EULER-TYPE SUMS AND RAMANUJAN-TYPE SUMS

Author:

XU Ce1

Affiliation:

1. School of Mathematics and Statistics Anhui Normal University

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Reference26 articles.

1. [1] G. E. Andrews, R. Askey and R. Roy. Special Functions. Cambridge University Press, Cambridge, 2000, pp.481-532.

2. [2] G. E. Andrews and B. C. Berndt. Ramanujan's Lost Notebook, Part II. Springer, New York, 2009, pp. 223-233.

3. [3] G. E. Andrews and B. C. Berndt. Ramanujan's Lost Notebook, Part IV. Springer, New York, 2013, pp. 265-284.

4. [4] K. C. Au. Evaluation of one-dimensional polylogarithmic integral, with applications to infinite series. Preprint, 2007, arXiv:2007.03957v1. Mathematica package available at: researchgate.net/publication/342344452.

5. [5] D. H. Bailey, J. M. Borwein and R. Girgensohn. Experimental evaluation of Euler sums. Expo. Math. 3(1) (1994), 17-30.

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1. Dirichlet type extensions of Euler sums;Comptes Rendus. Mathématique;2023-09-07

2. Extension of the four Euler sums being linear with parameters and series involving the zeta functions;Journal of Mathematical Analysis and Applications;2022-11

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