2026-09-19T14:39:53.106234Zhttps://opus.uleth.ca/server/oai/requestoai:opus.uleth.ca:10133/70532025-06-11T05:05:00Zcom_10133_3346com_10133_1com_10133_296col_10133_3347col_10133_298
ULethbridge OPUS Repository
supervisor
Fiori, Andrew
author
Farzanfard, Golnoush
author
University of Lethbridge. Faculty of Arts and Science
2025-06-10T17:52:04Z
2025-06-10T17:52:04Z
2024
https://hdl.handle.net/10133/7053
[See thesis for abstract]
en
Riemann zeta function
analytical number theory
explicit zero density
prime numbers
Explicit zero density for the Riemann zeta function
Thesis
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
URL
http://localhost:4000/bitstreams/9156431f-a802-4678-864a-2f9fb4720196/download
File
MD5
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application/pdf
FARZANFARD_GOLNOUSH_MSC_2025.pdf
URL
http://localhost:4000/bitstreams/9daa2ef2-f27c-4c38-bf8d-65e3a7ba7adc/download
File
MD5
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text/plain
FARZANFARD_GOLNOUSH_MSC_2025.pdf.txt