五次键合多项式P-不可约的两个定理

在生物化学研究领域,对键合多项式P-不可约性的判定是一个重要问题.已有结果主要考虑四次或四次以下的多项式,而对五次或五次以上键合多项式的讨论尚未见报道.文章在这方面作了一定的探索,给出了五次键合多项式P-不可约的两组充分条件,这两组条件均是用多项式的系数构成的等式或不等式组显式表示的.

Two theorems for determining p-irreducibility of binding polynomials with degree five

The problem of deciding whether a binding polynomial has positive decompositions is important in studying many biochemistry processes.Many existing results about this were confined to the polynomials with degree less than five,and few were reported on the result concerning the binding polynomials with degree 5.We give two sets of sufficient conditions for judging the p-irreducibility,which expressed by some inequalities composed of the coefficients of the positive polynomial with degree five.