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Algebra |
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Authors: Lucian M Ionescu
The article aims to motivate the study of the relations between the Riemann zeros, and the zeros of the Weil polynomial of a hyper-elliptic curve over finite fields, beyond the well-known formal analogy. The non-trivial distribution of the p-sectors of the Riemann spectrum recently studied by various authors, represent evidence of a yet unknown algebraic structure exhibited by the Riemann spectrum, supporting the above investigations. This preparatory article consists essentially in a review of the topics involved, and the ``maize'' of relationships to be clarified subsequently. Examples are provided and further directions of investigation are suggested. It is, if successful, a viable, possibly new approach to proving the Riemann Hypothesis, with hindsight from the proof in finite characteristic and function fields.
Comments: 25 Pages.
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[v1] 2022-04-21 11:26:31
Unique-IP document downloads: 648 times
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