Rouwhorst, D.D. (2014) The Riemann Zeta Function and the connection to Hamiltonians in Physics. Bachelor's Thesis, Physics.
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Abstract
In 1859, Riemann published a paper about an estimate on the prime numbers. In this paper, he conjectured that all non real zeroes of the Riemann zeta function have real part equal to 1/2. This conjecture is known as the Riemann hypothesis. Another conjecture, named the Hilbert-Pólya conjecture, implies this hypothesis. We will look at a physical way of proving of the Hilbert-Pólya conjecture by using Hamiltonians obtained by quantizing dynamical systems.
| Item Type: | Thesis (Bachelor's Thesis) |
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| Degree programme: | Physics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 15 Feb 2018 07:57 |
| Last Modified: | 15 Feb 2018 07:57 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/11905 |
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