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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Yörük, Statistics and characterization of matrices by determinant and trace, Ramanujan J., 2019] and also anwers some questions from the same article.
📌 3 Key Takeaways
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Objective & Hypothesis:In this short note, we count the points on algebraic sets which lie in a subset of a domain.
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Key Findings & Data:It is proved that the set of points on algebraic sets coming from certain subsets of a domain has the full asymptotic.
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Conclusion & Impact:Yörük, Statistics and characterization of matrices by determinant and trace, Ramanujan J., 2019] and also anwers some questions from the same article.
🔬Design:Research Article
📍Scope:2019 Verileri
⚙️Variables:algebraic sets · heights · asymptotics
Abstract
In this short note, we count the points on algebraic sets which lie in a subset of a domain. It is proved that the set of points on algebraic sets coming from certain subsets of a domain has the full asymptotic. This generalizes the first theorem of [E. Alkan and E.S. Yörük, Statistics and characterization of matrices by determinant and trace, Ramanujan J., 2019] and also anwers some questions from the same article.
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Cite This Article
Çelik, Ş. Ç., Göral, H. (2021). A note on points on algebraic sets. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 3. https://doi.org/10.15672/hujms.743598