关于二次剩余的q模拟

设P为奇素数,a为正整数且Pa．本文证明了qa-1(q16a;q16a)(p-1)/2/(q16;q16)(p-1)/2≡(a/p)(mod[p]q),其中(x;q)n=(1-x)(1-xq)…(1-xqn-1),[p]q=1 q … qp-1,(a/p)为Legendre符号．     

NOTICE ON ADDED-FACTOR OF MULTIVARIATE GOULD-HSU INVERSION

1. IntroductionIn 1973, W. H. Gould and L. C. Hsu [1] obtained a pair of reciprocal relations as follows.Theorem 1 Let {al}gr and {hi}gr be two sequences of complex number. Define thatand let that of (x, 0) = 1. Then there exists a pair of reciprocal relations as followsandwhere (:) denotes the oofinary binomial coefficients.This result is often called Gould-Hsu inversion formula in the literature, which turns outto be of great importance in the transformation of illtegral sequencest the c…     

q-类似Virasoro-like代数上Z-阶化中间序列模的性质

文（4）构造了q-类似Virasoro-like代数上一些Z-阶化中间序列模，本文将进一步研究它们的不可约性和同构关系．     

q类薛定谔猫态的非经典性质

构造了一类q类薛定谔猫态，并研究了它的压缩和反聚束等非经典性质．