EN
A note on points on algebraic sets
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.
Keywords
References
- [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.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
June 7, 2021
Submission Date
May 28, 2020
Acceptance Date
January 13, 2021
Published in Issue
Year 2021 Volume: 50 Number: 3
APA
Çam Çelik, Ş., & Göral, H. (2021). A note on points on algebraic sets. Hacettepe Journal of Mathematics and Statistics, 50(3), 821-824. https://doi.org/10.15672/hujms.743598
AMA
1.Çam Çelik Ş, Göral H. A note on points on algebraic sets. Hacettepe Journal of Mathematics and Statistics. 2021;50(3):821-824. doi:10.15672/hujms.743598
Chicago
Çam Çelik, Şermin, and Haydar Göral. 2021. “A Note on Points on Algebraic Sets”. Hacettepe Journal of Mathematics and Statistics 50 (3): 821-24. https://doi.org/10.15672/hujms.743598.
EndNote
Çam Çelik Ş, Göral H (June 1, 2021) A note on points on algebraic sets. Hacettepe Journal of Mathematics and Statistics 50 3 821–824.
IEEE
[1]Ş. Çam Çelik and H. Göral, “A note on points on algebraic sets”, Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 3, pp. 821–824, June 2021, doi: 10.15672/hujms.743598.
ISNAD
Çam Çelik, Şermin - Göral, Haydar. “A Note on Points on Algebraic Sets”. Hacettepe Journal of Mathematics and Statistics 50/3 (June 1, 2021): 821-824. https://doi.org/10.15672/hujms.743598.
JAMA
1.Çam Çelik Ş, Göral H. A note on points on algebraic sets. Hacettepe Journal of Mathematics and Statistics. 2021;50:821–824.
MLA
Çam Çelik, Şermin, and Haydar Göral. “A Note on Points on Algebraic Sets”. Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 3, June 2021, pp. 821-4, doi:10.15672/hujms.743598.
Vancouver
1.Şermin Çam Çelik, Haydar Göral. A note on points on algebraic sets. Hacettepe Journal of Mathematics and Statistics. 2021 Jun. 1;50(3):821-4. doi:10.15672/hujms.743598