The remainder in Weyl's law for Heisenberg manifolds. II

@inproceedings{Petridis2002TheRI,
  title={The remainder in Weyl's law for Heisenberg manifolds. II},
  author={Yiannis N. Petridis and Derrick Chung and John A. Toth},
  year={2002}
}
We prove that the error term R(λ) in Weyl’s law is O� (λ5/6+� ) for certain three-dimensional Heisenberg manifolds. We also show that the L 2 -norm of the Weyl error term integrated over the moduli space of left-invariant Heisenberg metrics is � λ 3/4+� . We conjecture that R(λ )= O� (λ 3/4+� )i s a sharp deterministic upper bound for Heisenberg three-manifolds. 

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