Book contents
- Frontmatter
- Dedication
- Epigraph
- Contents
- Contents for Volume Two
- List of Illustrations
- List of Tables
- Preface for Volume One
- List of Acknowledgements
- 1 Introduction
- 2 The Riemann Zeta Function
- 3 Estimates
- 4 Classical Equivalences
- 5 Euler's Totient Function
- 6 A Variety of Abundant Numbers
- 7 Robin's Theorem
- 8 Numbers That Do Not Satisfy Robin's Inequality
- 9 Left, Right and Extremely Abundant Numbers
- 10 Other Equivalents to the Riemann Hypothesis
- Appendix A Tables
- Appendix B RHpack Mini-Manual
- References
- Index
Appendix B - RHpack Mini-Manual
Published online by Cambridge University Press: 27 October 2017
- Frontmatter
- Dedication
- Epigraph
- Contents
- Contents for Volume Two
- List of Illustrations
- List of Tables
- Preface for Volume One
- List of Acknowledgements
- 1 Introduction
- 2 The Riemann Zeta Function
- 3 Estimates
- 4 Classical Equivalences
- 5 Euler's Totient Function
- 6 A Variety of Abundant Numbers
- 7 Robin's Theorem
- 8 Numbers That Do Not Satisfy Robin's Inequality
- 9 Left, Right and Extremely Abundant Numbers
- 10 Other Equivalents to the Riemann Hypothesis
- Appendix A Tables
- Appendix B RHpack Mini-Manual
- References
- Index
Summary
Introduction
This appendix is the manual for a set of functions written to assist the reader to reproduce, and possibly extend, the calculations mentioned in the main part of the book. The software for the package is provided over the world wide web at the webpage for the book linked to the author's homepage:
www.math.waikato.ac.nz/~kab
and is in the form of a standard Mathematica add-on package. To use the functions in the package you will need to have a version of Mathematica at level 7.0 or higher.
Installation
First connect to the website given in the paragraph above and click on the link for RHpack listed under the heading “Software” to get to the RHpack homepage. Instructions on downloading the files for the package will be given on the homepage. If you have an earlier version of RHpack, first delete the file RHpack.m. The name of the package file is RHpack.m. To install the package, if you have access to the file system for programs on your computer, place a copy of the file in the standard repository for Mathematica packages or any other directory, which will be listed by evaluating $Path in Mathematica, to which you have access. You can then type <<RHpack.m and then press the Shift and Enter keys to load the package. You may need administrator or super-user status to complete this installation. Alternatively, place the package file RHpack.m anywhere in your own file system where it is safe and accessible.
Instructions forWindows systems The package can be loaded by typing SetDirectory[“c:\\your\\directory\\path“]<Shift/Enter> <<RHpack.m;ResetDirectory[]<Shift/Enter>
or
Get[“RHpack.m”,Path->﹛“c:\\your\\directory\\path“﹜] <Shift/Enter>
where the path-name in quotes should be replaced by the actual path-name of directories and subdirectories which specify where the package has been placed on the computer you are using. If the double backslash does not work, try a single backslash.
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- Equivalents of the Riemann Hypothesis , pp. 294 - 312Publisher: Cambridge University PressPrint publication year: 2017