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arXiv · 2308.11860

Analytic theories around the simplest screw

Masatoshi Suzuki
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Abstract

We present several analytic theories related to screw functions and describe the connections among them, taking the screw function of the simplest screw line as a guiding example.Note that this article does not contain any new results. Nevertheless, subsequent developments have suggested that the analytic structures associated with the simplest screw provide a useful prototype for a broader theory connected with zeta-functions, Weil's quadratic forms, and related Hilbert-space structures arising in analytic number theory.

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Masatoshi Suzuki. 2023-08-23. Analytic theories around the simplest screw. https://arxiv.org/abs/2308.11860

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