Bull. Korean Math. Soc. 2012; 49(2): 367-372
Printed March 1, 2012
https://doi.org/10.4134/BKMS.2012.49.2.367
Copyright © The Korean Mathematical Society.
Muharem Avdispahi\'c and D\v zenan Gu\v si\'c
University of Sarajevo, University of Sarajevo
Taking the integrated Chebyshev-type counting function of the appropriate order, we improve the error term in Park's prime geodesic theorem for hyperbolic manifolds with cusps. The obtained estimate coincides with the best known result in the Riemann surfaces case.
Keywords: Ruelle zeta function, prime geodesic theorem
MSC numbers: 11M36, 11F72
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