A program for computing the Riemann Zeta function for complex argument

Published: 01-01-1980| Version 1 | DOI: 10.17632/kjb3dgs64n.1
Alicia Bañuelos,
Ricardo Angel Depine


Title of program: RIEMANN ZETA FUNCTION Catalogue Id: ABVJ_v1_0 Nature of problem The series expansion that gives a good approach to the Fermi-Dirac function Fsigma(alpha) in the range alpha approximately 0 requires the evaluation of the Zeta function zeta(s) for real argument. However, important mathematical questions concerning with the location of the complex zeros of zeta(s), lead us to construct a program directly applicable to complex values of the argument. Versions of this program held in the CPC repository in Mendeley Data ABVJ_v1_0; RIEMANN ZETA FUNCTION; 10.1016/0010-4655(80)90021-1 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)