A statistical relation of roots of a polynomial in different local fields
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- by Yoshiyuki Kitaoka PDF
- Math. Comp. 78 (2009), 523-536 Request permission
Abstract:
Let $f(x)$ be a monic polynomial in $\mathbb {Z}[x]$. We observe a statistical relation of roots of $f(x)$ in different local fields $\mathbb {Q}_p$, where $f(x)$ decomposes completely. Based on this, we propose several conjectures.References
- Toshihiro Hadano, Yoshiyuki Kitaoka, Tomio Kubota, and Michihiro Nozaki, Densities of sets of primes related to decimal expansion of rational numbers, Number theory, Dev. Math., vol. 15, Springer, New York, 2006, pp. 67–80. MR 2213829, DOI 10.1007/0-387-30829-6_{6}
Additional Information
- Yoshiyuki Kitaoka
- Affiliation: Department of Mathematics, Meijo University, Tenpaku, Nagoya, 468-8502, Japan
- Email: kitaoka@ccmfs.meijo-u.ac.jp
- Received by editor(s): May 7, 2007
- Received by editor(s) in revised form: December 10, 2007
- Published electronically: May 12, 2008
- Additional Notes: The author was partially supported by Grant-in-Aid for Scientific Research (C), The Ministry of Education, Science, Sports and Culture.
- © Copyright 2008 American Mathematical Society
- Journal: Math. Comp. 78 (2009), 523-536
- MSC (2000): Primary 11K99, 11C08, 11Y05
- DOI: https://doi.org/10.1090/S0025-5718-08-02133-9
- MathSciNet review: 2448719