Escape from a circle and Riemann hypotheses

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dc.creatorBunimovich, Leonid A.
dc.creatorDettmann, Carl P.
dc.date2006-03-15
dc.date.accessioned2026-07-07T07:06:56Z
dc.date.available2026-07-07T07:06:56Z
dc.descriptionWe consider open circular billiards with one and with two holes. The exact formulas for escape are obtained which involve the Riemann zeta function and Dirichlet L-functions. It is shown that the problem of finding the exact asymptotics in the small hole limit for escape in some of these billiards is equivalent to the Riemann hypothesis.
dc.description24 pages, proofs and extensions of results in nlin.SI/0408009
dc.identifierhttps://arxiv.org/abs/math/0603373
dc.identifierhttp://arxiv.org/abs/math/0603373
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110207
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subjectNumber Theory
dc.subjectExactly Solvable and Integrable Systems
dc.subject37A45
dc.titleEscape from a circle and Riemann hypotheses
dc.typetext

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