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A lower bound for the error term in Weyl’s law for certain Heisenberg manifolds

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Abstract.

This article provides an Omega-result for the remainder term in Weyl’s law for the spectral counting function of certain rational (2ℓ + 1)-dimensional Heisenberg manifolds.

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Authors and Affiliations

  1. Institute of Mathematics, Department of Integrative Biology, Universität für Bodenkultur Wien, Gregor Mendel-Straße 33, 1180, Wien, Österreich

    Werner Georg Nowak

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  1. Werner Georg Nowak
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Correspondence to Werner Georg Nowak.

Additional information

The author gratefully acknowledges support from the Austrian Science Fund (FWF) under project Nr. P20847-N18.

Received: 22 September 2008

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Nowak, W.G. A lower bound for the error term in Weyl’s law for certain Heisenberg manifolds. Arch. Math. 92, 344–354 (2009). https://doi.org/10.1007/s00013-009-3029-1

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  • DOI: https://doi.org/10.1007/s00013-009-3029-1

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