Mathematics – Dynamical Systems
Scientific paper
2006-03-15
Mathematics
Dynamical Systems
24 pages, proofs and extensions of results in nlin.SI/0408009
Scientific paper
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.
Bunimovich Leonid A.
Dettmann Carl P.
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