A combinatorial proof of an identity for the divisor generating function
The electronic journal of combinatorics, Tome 20 (2013) no. 2
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.
DOI :
10.37236/2153
Classification :
05A15, 05A17
Mots-clés : q-series identities, Uchimura's identity, Dilcher's identity, integer partition, arm length, divisor function
Mots-clés : q-series identities, Uchimura's identity, Dilcher's identity, integer partition, arm length, divisor function
Affiliations des auteurs :
Masanori Ando  1
@article{10_37236_2153,
author = {Masanori Ando},
title = {A combinatorial proof of an identity for the divisor generating function},
journal = {The electronic journal of combinatorics},
year = {2013},
volume = {20},
number = {2},
doi = {10.37236/2153},
zbl = {1267.05017},
url = {http://geodesic.mathdoc.fr/articles/10.37236/2153/}
}
Masanori Ando. A combinatorial proof of an identity for the divisor generating function. The electronic journal of combinatorics, Tome 20 (2013) no. 2. doi: 10.37236/2153
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