关于Gollnitz小分拆定理的连分式展开式的一个注记  

A Note on the Continued Fraction Expansion of Gollnitz'Minor Partition Theoremon

作　　者：蔡华蓉 CAI Huarong(College of Mathematical Sciences,Chongqing Normal University,Chongqing 401331)

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《绵阳师范学院学报》2023年第11期9-14,共6页Journal of Mianyang Teachers＇ College

摘　　要：应用创造性猜测和归纳证明的方法,更正了Kamilla Oliver和Helmut Prodinger从Gollnitz小分拆定理得到的其中一个结果的辅助级数S_(k),并给出了相应的连分式展开式.By means of creative guess and inductive proof,the auxiliary series S_(k) of Kamilla Oliver and Helmut Prodinger obtained from one of the results of Gollnitz'Minor Partition Theorem is corrected,and the corresponding continued fraction expansion is given.

关 键 词：q级数 连分式展开式 创造性猜测 递归关系 

分 类 号：O143[理学—数学]