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An adelic causality problem related to abelian L-functions

Jean-Francois Burnol
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Abstract

I associate to a global field K a Lax-Phillips scattering which has the property of causality if and only if the Riemann Hypothesis holds for all the abelian L-functions of K. As a Hilbert space closure problem this provides an adelic variation on a theme initiated by Nyman and Beurling. The adelic aspects are related to previous work by Tate, Iwasawa and Connes.

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Jean-Francois Burnol. 2000-09-14. An adelic causality problem related to abelian L-functions. https://doi.org/10.1006/jnth.2000.2616

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