Title of program: RIEMANN ZETA FUNCTION ## Nature of the physical problem The series expansion that gives a good approach to the Catalogue number: ABVJ Fermi-Dirac function F 0(a) in the range al 0 requires the evaluation of the Zeta function f(s) for real argument [1].
A program for computing the Riemann Zeta function for complex argument
✍ Scribed by Alicia Bañuelos; Ricardo Angel Depine
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 43 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0010-4655
No coin nor oath required. For personal study only.
✦ Synopsis
Programming language used: FORTRAN IV High speed store required: 25 Kbytes No. of bits in a word: 32 Overlay structure: none Other peripherals used: card reader, line printer No. of cards in combined program and test deck: 136
📜 SIMILAR VOLUMES
This routine occasionally gives wrong results, a correction GAMMA as part of their program for calculating the has been published in Computer Phys. Commun. 3 (1972) 276. Coulomb phase shift. We note here that Luke [13] has \* An earlier version of this program was written by ginary part. This can be
Let q be a power of a prime p. We prove an assertion of Carlitz which takes q as a parameter. Diaz-Vargas' proof of the Riemann Hypothesis for the Goss zeta function for F p [T] depends on his verification of Carlitz's assertion for the specific case q= p [D-V]. Our proof of the general case allows