Hypergeometric series and the Riemann zeta function

 Access to full text

 Full (PDF)

1. [1] B. C. Berndt, Ramanujan's Notebooks, Part I, Springer, New York, 1985. Zbl0555.10001
2. [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. Zbl0840.11036
3. [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. Zbl0830.05006
4. [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. Zbl0782.33001
5. [5] Y. L. Luke, The Special Functions and Their Approximations, Academic Press, London, 1969. Zbl0193.01701
6. [6] I. G. Macdonald, Symmetric Functions and Hall Polynomials, Oxford Univ. Press, London, 1979. Zbl0487.20007
7. [7] L. J. Slater, Generalized Hypergeometric Functions, Cambridge Univ. Press, Cambridge, 1966. Zbl0135.28101