Krawtchouk多项式与二次半正则序列
Krawtchouk polynomials and quadratic semi-regular sequences
摘要:
本文给出了超定零维齐次二次半正则多项式方程组正则度的上、下界。分析是基于相关的希尔伯特级数的解释为截断的生成函数的值的某个家庭的正交多项式,Krawtchouk多项式。
英文摘要:
We derive lower und upper bounds for the degree of regularity of an overdetermined, zero-dimensional and homogeneous quadratic semi-regular system of polynomial equations. The analysis is based on the interpretation of the associated Hilbert series as the truncation of the generating function of values of a certain family of orthogonal polynomials, the Krawtchouk polynomials.
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