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Comparative Prime Number Theory Problem List

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arxiv 2407.03530 v1 pith:7IQMUTAT submitted 2024-07-03 math.NT

Alia Hamieh , Habiba Kadiri , Greg Martin , Nathan Ng This is my paper · ORCID
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This is a list of problems that were collected from participants at the Comparative Prime Number Theory Symposium held at UBC from June 17 to June 21, 2024. Its goal is to stimulate research and future collaborations in this growing field. This event was part of the PIMS (Pacific Institute of Mathematical Sciences) Collaborative Research Group L-functions in Analytic Number Theory: 2022- 2025.

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  1. On the mean values of the error terms in Mertens' theorems

    math.NT 2024-11 conditional novelty 7.0 of 10

    For the first two Mertens error terms, the Riemann hypothesis is equivalent to the positivity of their integral from 2 to X for every X>2.

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