Computer Visualization of the Riemann Zeta Function

Abstract : Various representations of the multi-dimensional Riemann zeta function ζ(s) are provided herein. The representations include 3D plots in the xyz space as well as contour maps where the third dimension is represented by color or iso-line contours. Some polar projections of the zeta function are shown near some non-trivial zeros of the zeta function. 3D polar contour maps can be a powerful tool in the analysis of the Riemann zeta function. For example, shape orientation in the 3D polar contour map projections can be used to provide a location of consecutive zeros.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01441140
Contributor : Kamal Goudjil <>
Submitted on : Thursday, January 19, 2017 - 4:06:54 PM
Last modification on : Saturday, January 21, 2017 - 1:01:29 AM
Long-term archiving on : Thursday, April 20, 2017 - 2:20:17 PM

File

ZetaFunction.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution - NonCommercial - NoDerivatives 4.0 International License

Identifiers

  • HAL Id : hal-01441140, version 1

Collections

Citation

Kamal Goudjil. Computer Visualization of the Riemann Zeta Function. 2017. ⟨hal-01441140⟩

Share

Metrics

Record views

158

Files downloads

1853