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常系数线性齐次递归关系模p同余后的通项公式
引用本文:张利平,钟效锋.常系数线性齐次递归关系模p同余后的通项公式[J].西南民族学院学报(自然科学版),1999,25(2):120-124.
作者姓名:张利平  钟效锋
作者单位:自贡师范高等专科学校数学系(张利平),自贡一中数学组(钟效锋)
摘    要:研究一常数线性齐次递归关系所给出的序列模素数p后所得到的整数列的通项公式,并利用有限域理论给出了求常系数线性齐次递归关系模p后所得序列的通项公式的理论方法.从而推广了[1]中关于常系数线性齐次递归关系的若干结果

关 键 词:常系数线性齐次递归关系  有限域

The General term Formula after a Linear Homogeneous Recursion Relation with Constant Coefficients Modulo p
ZHANG Li ping ,ZHONG Xiao feng.The General term Formula after a Linear Homogeneous Recursion Relation with Constant Coefficients Modulo p[J].Journal of Southwest Nationalities College(Natural Science Edition),1999,25(2):120-124.
Authors:ZHANG Li ping  ZHONG Xiao feng
Institution:ZHANG Li ping 1,ZHONG Xiao feng 2
Abstract:In this paper, we investigate the general term formula of the sequence given after a linear homogeneous recursion relation with contant coefficients modulo p, and by means of the theory of the finite fields, we give out a theoretic method calculating the general term formula of the sequence given after a linear homogeneous recursion relation with constant coefficients modulo p. Thus some consequences about the linear homogeneous recursion relations in are generalized.
Keywords:linear homogeneous    recursion relation with constant coefficients  finite fields    
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