| dc.rights.license | CC-BY-NC-ND | |
| dc.contributor.advisor | Thompson, L.A. | |
| dc.contributor.author | Hoogendijk, Lucas | |
| dc.date.accessioned | 2023-08-18T00:01:42Z | |
| dc.date.available | 2023-08-18T00:01:42Z | |
| dc.date.issued | 2023 | |
| dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/44714 | |
| dc.description.abstract | In this thesis, we discuss some classical results in probabilistic number theory, focusing on when the outputs of an arithmetic function, usually multiplicative, attain a continuous distribution function. We study the inception of these theories around the early 20th century in the work of Schoenberg, who inspired Davenport to show that abundant numbers have a continuous distribution. It was not until 2013 that Jennings, Pollack and Thompson looked at this problem from a different perspective an | |
| dc.description.sponsorship | Utrecht University | |
| dc.language.iso | EN | |
| dc.subject | Research into when outputs of arithmetic functions attain an asymptotic continuous distribution, including a historical survey. Continues study done by Jennings, Pollack and Thompson to extend their result to non-multiplicative arithmetic function. | |
| dc.title | Connecting arithmetic functions and continuous distribution functions | |
| dc.type.content | Master Thesis | |
| dc.rights.accessrights | Open Access | |
| dc.subject.keywords | Probabilistic Number Theory; Distribution functions; Arithmetic functions; Cantor distribution | |
| dc.subject.courseuu | Mathematical Sciences | |
| dc.thesis.id | 22173 | |
