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We study the spectrum of the Dirichlet Laplacian on an unbounded twisted tubewith twisting velocity exploding to infinity. If the tube cross section doesnot intersect the axis of rotation, then its spectrum is purely discrete undersome additional conditions on the twisting velocity (D.Krejcirik, 2015). In thecurrent work we prove a Berezin type upper bound for the eigenvalue moments.

Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity