Scattering for time series with an application to the zeta function of an algebraic curve

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dc.creatorBurnol, Jean-Francois
dc.date1999-11-23
dc.date.accessioned2026-07-07T05:31:52Z
dc.date.available2026-07-07T05:31:52Z
dc.descriptionI explain how the Lax-Phillips theory can be applied to a purely innovating time series and compute the corresponding scattering function. I then associate such a time series to an algebraic curve (of genus at least 1) over a finite field and show that the Riemann Hypothesis (proven long ago) holds if and only if the scattering is causal (this causality is not independently established, though).
dc.description10 pages, latex with amsfonts
dc.identifierhttps://arxiv.org/abs/math/9911175
dc.identifierhttp://arxiv.org/abs/math/9911175
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79460
dc.subjectNumber Theory
dc.subject14G10,47A40,62M10
dc.titleScattering for time series with an application to the zeta function of an algebraic curve
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