Escape from a circle and Riemann hypotheses

نویسندگان

  • Leonid A Bunimovich
  • Carl P Dettmann
چکیده

We 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. Escape from a circle and Riemann hypotheses 2

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تاریخ انتشار 2006