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25 Zeta and Related FunctionsComputation

§25.21 Software

Contents

§25.21(i) Introduction

In this section we provide links to the research literature describing the implementation of algorithms in software for the evaluation of functions described in this chapter. Citations in bulleted lists refer to papers for which research software has been made available and can be downloaded via the Web. References to research software that is available in other ways is listed separately.

A more complete list of available software for computing these functions is found in the Software Index.

§25.21(ii) Zeta Functions for Real Arguments

  • Brent (1978b). Fortran.

See also Markman (1965).

§25.21(iii) Zeta Functions for Complex Arguments

  • Bañuelos and Depine (1980). Fortran.

See also Yeremin et al. (1988).

§25.21(iv) Hurwitz Zeta Function

No research software has been found for these functions. For other software see the Software Index.

§25.21(v) Dilogarithms, Polylogarithms

  • Brent (1978b). Fortran.

  • Ginsberg and Zaborowski (1975). Fortran.

See also Kölbig (1968).

§25.21(vi) Clausen’s Integral

See §25.12(i).

  • MacLeod (1996a). Fortran.

§25.21(vii) Fermi–Dirac and Bose–Einstein Integrals

  • Antia (1993). Fortran.

  • Bañuelos et al. (1981). Fortran.

  • Cloutman (1989). Fortran.

  • Fullerton and Rinker (1986). Fortran.

  • Gautschi (1993). Fortran.

  • Goano (1995). Fortran.

  • Gong et al. (2001). Fortran.

  • MacLeod (1998). Fortran.

See also Thompson (1996) and Trellakis et al. (1997).

§25.21(viii) Lerch’s Transcendent

  • Aksenov et al. (2003).

§25.21(ix) Dirichlet L-series

No research software has been found for these functions. For other software see the Software Index.