Prime Geodesic Theorem for Compact Even-Dimensional Locally Symmetric Riemannian Manifolds of Strictly Negative Sectional Curvature

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Abstract: Applying a suitably derived, Titchmarsh-Landau style approximate formula for the logarithmic derivative of the Ruelle zeta function, we obtain an another proof of the recently improved variant of the prime geodesic theorem for compact, even-dimensional, locally symmetric spaces of real rank one.

WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #24

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Dzenan Gusic, "Prime Geodesic Theorem for Compact Even-Dimensional Locally Symmetric Riemannian Manifolds of Strictly Negative Sectional Curvature," WSEAS Transactions on Mathematics, vol. 17, pp. 188-196, 2018, DOI:
Dzenan Gusic. Prime Geodesic Theorem for Compact Even-Dimensional Locally Symmetric Riemannian Manifolds of Strictly Negative Sectional Curvature. WSEAS Transactions on Mathematics. 2018;17:188-196.
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