INTERSECTION THEORIES AND CHEBYSHEV POLYNOMIALS III

Humphries Stephen P.

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INTERSECTION THEORIES AND CHEBYSHEV POLYNOMIALS III

机译：交叉理论和切比雪夫多项式III

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We investigate the properties of certain operators that were used in previous papers to create geometric and algebraic intersection number functions. Using these operators we show how to construct a general intersection theory and then we investigate properties of certain polynomials that arise naturally in this context. We indicate connections to twin primes.

机译：我们调查了先前论文中用于创建几何和代数相交数函数的某些算子的性质。使用这些运算符，我们展示了如何构建一般的相交理论，然后研究了在这种情况下自然产生的某些多项式的性质。我们指出与双素数的联系。

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《Journal of algebra and its applications》 |2009年第1期|共29页
作者
Humphries Stephen P.;
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正文语种 eng
中图分类 513GL007;
关键词
Intersection function; Dehn twist; Chebyshev polynomials; Dickson polynomials; simple close curve; twin primes; divisibility sequences;

机译：求交函数Dehn扭曲Chebyshev多项式Dickson多项式简单闭合曲线双素数可除序列;

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专利

1. INTERSECTION THEORIES AND CHEBYSHEV POLYNOMIALS III [J] . Humphries Stephen P. Journal of algebra and its applications . 2009,第1期

机译：交叉理论和切比雪夫多项式III
2. Intersection-number operators and Chebyshev polynomials IV: non-planar cases [J] . Stephen P. Humphries Geometriae Dedicata . 2007,第1期

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3. NEGLECT OF DIATOMIC DIFFERENTIAL OVERLAP IN NONEMPIRICAL QUANTUM CHEMICAL ORBITAL THEORIES .2. A POLYNOMIAL EXPANSION FOR DELTA(-1/2) IN TERMS OF LEGENDRE AND CHEBYSHEV POLYNOMIALS [J] . Neymeyr K., Seelig FF. International Journal of Quantum Chemistry . 1995,第5期

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4. The Transformation Matrix of Chebyshev III - Bernstein Polynomial Basis [C] . Abedallah Rababah, Ayman AL-Shbool International Conference of Numerical Analysis and Applied Mathematics . 2016

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5. Zero Distribution of Binomial Combinations of Chebyshev Polynomials of the Second Kind [D] . Al Hamdani, Summer F. 2021

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6. Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials [O] . Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, -1

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7. Chebyshev Polynomials for Boxing and Intersections of Parametric Curves and Surfaces [O] . Alain Fournier, John Buchanan 1994

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8. Expansions in Series of Chebyshev Polynomials of a Function Occurring in Linear Unsteady Aerodynamic Theory [R] . Davies, D. E. 1979

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INTERSECTION THEORIES AND CHEBYSHEV POLYNOMIALS III

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