A Combinatorial Proof of an Identity for the Divisor Generating Function

Electronic Journal Of Combinatorics

Masanori Ando¹ 

关键词: Uchimura';    s identity;    Dilcher';    s identity;    integer partition;    arm length;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

In this paper, we give combinatorial proofs and new generalizations of $q$-series identities of Dilcher and Uchimura related to divisor function. Some interesting combinatorial results related to partition and arm-length are also presented.

【 授权许可】

Others