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A summary on Zeta-functions of root systems and Poincare polynomials of Weyl groups (Problems and prospects in Analytic Number Theory)

A summary on Zeta-functions of root systems and Poincare polynomials of Weyl groups (Problems and prospects in Analytic Number Theory)
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Elementary inequalities involving the roots of a polynomial with applications in harmonic analysis and number theory

Journal of the London Mathematical Society, 2012
We establish various inequalities relating the coefficients of a polynomial with the separation of its roots. Applications are given to oscillatory integrals and sublevel sets in euclidean harmonic analysis as well as exponential sums and polynomial congruences in number theory.
Michael W. Kowalski, James Wright
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Reduction in the Number of Independent Parameters for the Tsai—Wu Tensor Polynomial Theory of Strength for Composite Materials

Journal of Composite Materials, 2003
It is shown that the number of required parameters for the Tsai-Wu tensor polynomial strength criterion for fiber composites can be reduced from seven to five for composite materials that do not fail under practical levels of either hydrostatic or transverse pressure.
Steven J. DeTeresa, Gregory J. Larsen
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Difference equations in combinatorics, number theory, and orthogonal polynomials

Journal of Difference Equations and Applications, 1999
In this paper we give an overview of some recent developments in the asymptotics of difference equations. Applications to combinatorics and orthogonal polynomials are briefly indicated.
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Auxiliary Polynomials in Number Theory

2016
This unified account of various aspects of a powerful classical method, easy to understand in its simplest forms, is illustrated by applications in several areas of number theory. As well as including diophantine approximation and transcendence, which were mainly responsible for its invention, the author places the method in a broader context by ...
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Refutations of Major Open Problems in Number Theory and Complexity A Symbolic-Polynomial Approach Using I = 0

Refutations of Major Open Problems in Number Theoryand ComplexityA Symbolic-Polynomial Approach Using I ...
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Refutations of Major Open Problems in Number Theory and Complexity A Symbolic-Polynomial Approach Using I = 0 0

The principal open problems in number theory and theoretical computer science.Utilizing the symbolic-polynomial framework introduced by the author, in which theindeterminate constantI = 00and a fifth-degree polynomial approximation P (n) to the n-th prime are the centraltools, we demonstrate that each problem fails to hold under this unified ...
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The polynomial method in number theory

2016
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Proportion and number of cancer cases and deaths attributable to potentially modifiable risk factors in the United States

Ca-A Cancer Journal for Clinicians, 2018
Farhad Islami, Ann Goding Sauer Msph, Kimberly D Miller   +2 more
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