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math-ph2011★ 129 cited
Physics of the Riemann Hypothesis
Daniel Schumayer, David A. W. Hutchinson
Physicists become acquainted with special functions early in their studies. Consider our perennial model, the harmonic oscillator, for which we need Hermite functions, or the Lague…
math-ph2008★ 32 cited
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…