32 citations · 32 across the 1 of their papers we have counts for
3 papers
Quantum mechanical potentials related to the prime numbers and Riemann zeros
Daniel Schumayer, Brandon P. van Zyl, David A. W. Hutchinson
Prime numbers are the building blocks of our arithmetic, however, their distribution still poses fundamental questions. Bernhard Riemann showed that the distribution of primes coul…
Riemann zeros, prime numbers and fractal potentials
Brandon P. van Zyl, D. A. W. Hutchinson
Using two distinct inversion techniques, the local one-dimensional potentials for the Riemann zeros and prime number sequence are reconstructed. We establish that both inversion te…
Zeta Function Zeros, Powers of Primes, and Quantum Chaos
Jamal Sakhr, Rajat K. Bhaduri, Brandon P. van Zyl
We present a numerical study of Riemann's formula for the oscillating part of the density of the primes and their powers. The formula is comprised of an infinite series of oscillat…