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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 2

Prime geodesic theorem for the modular surface

Muharem Avdispahić(University of Sarajevo)0000-0001-7836-4988
Pages
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Publication Date
2020-04-02
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⚡ TL;DR(Too Long; Didn't Read)

Under the generalized Lindelöf hypothesis, the exponent in the error term of the prime geodesic theorem for the modular surface is reduced to $\frac{5}{8}+\varepsilon$ outside a set of finite logarithmic measure.

📌 3 Key Takeaways

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Objective & Hypothesis:Under the generalized Lindelöf hypothesis, the exponent in the error term of the prime geodesic theorem for the modular surface is reduced to $\frac{5}{8}+\varepsilon$ outside a set of finite logarithmic measure.
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Key Findings & Data:Under the generalized Lindelöf hypothesis, the exponent in the error term of the prime geodesic theorem for the modular surface is reduced to $\frac{5}{8}+\varepsilon$ outside a set of finite logarithmic measure.
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Conclusion & Impact:Under the generalized Lindelöf hypothesis, the exponent in the error term of the prime geodesic theorem for the modular surface is reduced to $\frac{5}{8}+\varepsilon$ outside a set of finite logarithmic measure.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:prime geodesic theorem · Selberg zeta function · modular group

Abstract

Under the generalized Lindelöf hypothesis, the exponent in the error term of the prime geodesic theorem for the modular surface is reduced to $\frac{5}{8}+\varepsilon$ outside a set of finite logarithmic measure.

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Cite This Article

Avdispahić, M. (2020). Prime geodesic theorem for the modular surface. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 2. https://doi.org/10.15672/hujms.568323

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