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A new bound of Mason´s theorem
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Thamir Alzahary
Published/Copyright:
September 25, 2009
Abstract
In this paper, we use Nevanlinna theory to obtain a new bounded for Mason´s theorem and find a lower bounded for the number of the distinct simple roots of a polynomial on an algebraically closed field of characteristic zero. As an application of this result, we prove some results which improve a result of H. Davenport.
Published Online: 2009-09-25
Published in Print: 2009-04
© by Oldenbourg Wissenschaftsverlag, München, Germany
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Articles in the same Issue
- Restrictions of power series and functions to algebraic surfaces
- Approximate continuity and topological Boolean algebras
- A Tauberian theorem for absolute quasi-Nörlund means
- Boundary Nevanlinna–Pick interpolation for Nevanlinna matrix functions and the related Hamburger matrix moment problem
- Some new results on the semiduality of small sets of analytic functions
- A note on globally defined analytic sets
- Counterexamples to symmetry for partially overdetermined elliptic problems
- A uniqueness-type problem for linear iterative equations
- A new bound of Mason´s theorem
Keywords for this article
Entire functions;
polynomials;
non-Archimedean fields;
characteristic functions
Articles in the same Issue
- Restrictions of power series and functions to algebraic surfaces
- Approximate continuity and topological Boolean algebras
- A Tauberian theorem for absolute quasi-Nörlund means
- Boundary Nevanlinna–Pick interpolation for Nevanlinna matrix functions and the related Hamburger matrix moment problem
- Some new results on the semiduality of small sets of analytic functions
- A note on globally defined analytic sets
- Counterexamples to symmetry for partially overdetermined elliptic problems
- A uniqueness-type problem for linear iterative equations
- A new bound of Mason´s theorem
