@article{bwmeta1.element.bwnjournal-article-aav82i2p103bwm, author = {Wenchang Chu}, title = {Hypergeometric series and the Riemann zeta function}, journal = {Acta Arithmetica}, volume = {80}, year = {1997}, pages = {103-118}, zbl = {0881.11066}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav82i2p103bwm} }
Wenchang Chu. Hypergeometric series and the Riemann zeta function. Acta Arithmetica, Tome 80 (1997) pp. 103-118. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav82i2p103bwm/
[000] [1] B. C. Berndt, Ramanujan's Notebooks, Part I, Springer, New York, 1985. | Zbl 0555.10001
[001] [2] D. Borwein and J. M. Borwein, On an intriguing integral and some series related to ζ(4), Proc. Amer. Math. Soc. 123 (1995), 1191-1198. | Zbl 0840.11036
[002] [3] W. Chu, Inversion techniques and combinatorial identities: A quick introduction to hypergeometric evaluations, in: Runs and Patterns in Probability: Selected Papers, A. P. Godbole and S. G. Papastavridis (eds.), Math. Appl. 283, Kluwer, Dordrecht, 1994, 31-57. | Zbl 0830.05006
[003] [4] P. J. De Doelder, On some series containing ψ(x)-ψ(y) and (ψ(x)-ψ(y))² for certain values of x and y, J. Comput. Appl. Math. 37 (1991), 125-141. | Zbl 0782.33001
[004] [5] Y. L. Luke, The Special Functions and Their Approximations, Academic Press, London, 1969. | Zbl 0193.01701
[005] [6] I. G. Macdonald, Symmetric Functions and Hall Polynomials, Oxford Univ. Press, London, 1979. | Zbl 0487.20007
[006] [7] L. J. Slater, Generalized Hypergeometric Functions, Cambridge Univ. Press, Cambridge, 1966. | Zbl 0135.28101