A Combinatorial Proof of an Identity for the Divisor Generating Function

  • Masanori Ando
Keywords: Uchimura's identity, Dilcher's identity, integer partition, arm length

Abstract

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.

Author Biography

Masanori Ando, Wakhok University
lecturer
Published
2013-04-24
Article Number
P13