# Hypergeometric series and the Riemann zeta function

Acta Arithmetica (1997)

- Volume: 82, Issue: 2, page 103-118
- ISSN: 0065-1036

## Access Full Article

top## How to cite

topWenchang Chu. "Hypergeometric series and the Riemann zeta function." Acta Arithmetica 82.2 (1997): 103-118. <http://eudml.org/doc/207083>.

@article{WenchangChu1997,

author = {Wenchang Chu},

journal = {Acta Arithmetica},

keywords = {the Riemann zeta function; the harmonic numbers; hypergeometric series; the gamma function; symmetric functions; infinite series identities; Riemann zeta-function},

language = {eng},

number = {2},

pages = {103-118},

title = {Hypergeometric series and the Riemann zeta function},

url = {http://eudml.org/doc/207083},

volume = {82},

year = {1997},

}

TY - JOUR

AU - Wenchang Chu

TI - Hypergeometric series and the Riemann zeta function

JO - Acta Arithmetica

PY - 1997

VL - 82

IS - 2

SP - 103

EP - 118

LA - eng

KW - the Riemann zeta function; the harmonic numbers; hypergeometric series; the gamma function; symmetric functions; infinite series identities; Riemann zeta-function

UR - http://eudml.org/doc/207083

ER -

## References

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

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.