Preface
I The Riemann Hypothesis
Thoughts about numbers
What are prime numbers?
Named'' prime numbers
Sieves
Questions about primes
Further questions about primes
How many primes are there?
Prime numbers viewed from a distance
Pure and applied mathematics
A probabilistic first guess
What is agood approximation''?
Square root error and random walks
What is Riemann's Hypothesis?
The mystery moves to the error term
CesΓ ro smoothing
A view of |3942"613A``4547`"603ALi(X) - (X)|
The Prime Number Theorem
The staircase of primes
Tinkering with the staircase of primes
Computer music files and prime numbers
The word ``Spectrum"
Spectra and trigonometric sums
The spectrum and the staircase of primes
To our readers of Part I
II Distributions
Slopes of graphs that have no slopes
Distributions
Fourier transforms: second visit
Fourier transform of delta
Trigonometric series
A sneak preview of Part III
III The Riemann Spectrum of the Prime Numbers
On losing no information
From primes to the Riemann spectrum
How many i's are there?
Further questions about the Riemann spectrum
From the Riemann spectrum to primes
IV Back to Riemann
Building (X) from the spectrum
As Riemann envisioned it
Companions to the zeta function
Endnotes