Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 3

A note on points on algebraic sets

Şermin Çam Çelik(ISTANBUL BILGI UNIVERSITY)0000-0002-0110-7139
Haydar Göral(IZMIR INSTITUTE OF TECHNOLOGY)0000-0002-8814-6295
Sayfa
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Yayın Tarihi
2021-06-07
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Yörük, Statistics and characterization of matrices by determinant and trace, Ramanujan J., 2019] and also anwers some questions from the same article.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this short note, we count the points on algebraic sets which lie in a subset of a domain.
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Temel Bulgular & Veri: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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Sonuç & Katkı:Yörük, Statistics and characterization of matrices by determinant and trace, Ramanujan J., 2019] and also anwers some questions from the same article.
🔬Tür:Research Article
📍Kapsam:2019 Verileri
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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

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Kaynakça (3)

  1. E. Alkan and E.S. Yörük, Statistics and characterization of matrices by determinant and trace, Ramanujan J. 48, 131–149, 2019.
  2. E. Bombieri and W. Gubler, Heights in Diophantine Geometry, Cambridge University Press; 1st edition, 2007.
  3. D.H. Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. (2), 34, 461–479, 1933.