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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 2

Prime geodesic theorem for the modular surface

Muharem Avdispahić
Pages
505–509
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ 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

🎯
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.
📊
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.
💡
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. (2022). Prime geodesic theorem for the modular surface. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 2, 505–509. https://ajindex.com/articles/529679

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