Meer, Robert van der (2020) Zeros of the Zeta Function. Bachelor's Thesis, Mathematics.
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Abstract
The Riemann Hypothesis states that any non-trivial zero of the Riemann zeta function has real part equal to 1/2. In this bachelor's thesis we study a way to detect such a zero. The zeta function is a complex function and in a part of the complex plane it is given as an infinite sum. By restricting the zeta function to the line 1/2+iR and using the so-called functional equation, a real function is constructed. A zero of this function corresponds precisely to the imaginary part of a zero of the zeta function. In this way zeta's zeros can be plotted and calculated. The zeta function is a special case of a so-called L-function. We apply the same method to detect zeros of two other L-functions and plot the results.
| Item Type: | Thesis (Bachelor's Thesis) |
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| Supervisor name: | Top, J. and Sterk, A.E. |
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 02 Apr 2020 11:40 |
| Last Modified: | 02 Apr 2020 11:42 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/21726 |
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