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Gallagherian Prime Geodesic Theorem in Higher Dimensions

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Abstract

Using the Gallagher–Koyama approach, we reduce the exponent in the error term of the prime geodesic theorem for real hyperbolic manifolds with cusps.

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Acknowledgements

We would like to thank the referee for suggestions that resulted in adding the remark on lower dimensions (and related references) to the initial version of the paper.

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Authors and Affiliations

  1. Department of Mathematics, University of Sarajevo, Zmaja od Bosne 33-35, 71000, Sarajevo, Bosnia and Herzegovina

    Muharem Avdispahić & Zenan Šabanac

Authors
  1. Muharem Avdispahić
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  2. Zenan Šabanac
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Correspondence to Zenan Šabanac.

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Communicated by Emrah Kilic.

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Avdispahić, M., Šabanac, Z. Gallagherian Prime Geodesic Theorem in Higher Dimensions. Bull. Malays. Math. Sci. Soc. 43, 3019–3026 (2020). https://doi.org/10.1007/s40840-019-00849-y

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  • DOI: https://doi.org/10.1007/s40840-019-00849-y

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