A method for verifying the generalized Riemann hypothesis

Fuente: arXiv
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Hauptverfasser: Hiary, Ghaith, Ireland, Summer, Kyi, Megan
Format: Preprint
Veröffentlicht: 2024
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author Hiary, Ghaith
Ireland, Summer
Kyi, Megan
author_facet Hiary, Ghaith
Ireland, Summer
Kyi, Megan
contents Riemann numerically approximated at least three zeta zeros. According to Edwards, Riemann even took steps to verify that the lowest zero he computed was indeed the first zeta zero. This approach to verification is developed, improved, and generalized to a large class of $L$-functions. Results of numerical calculations demonstrating the efficacy of the method are presented.
format Preprint
id arxiv_https___arxiv_org_abs_2408_00187
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A method for verifying the generalized Riemann hypothesis
Hiary, Ghaith
Ireland, Summer
Kyi, Megan
Number Theory
11M06, 11Y35
Riemann numerically approximated at least three zeta zeros. According to Edwards, Riemann even took steps to verify that the lowest zero he computed was indeed the first zeta zero. This approach to verification is developed, improved, and generalized to a large class of $L$-functions. Results of numerical calculations demonstrating the efficacy of the method are presented.
title A method for verifying the generalized Riemann hypothesis
topic Number Theory
11M06, 11Y35
url https://arxiv.org/abs/2408.00187