A combinatorial proof of an identity for the divisor generating function
The electronic journal of combinatorics, Tome 20 (2013) no. 2
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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

Masanori Ando  1

1 Wakhok University
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     title = {A combinatorial proof of an identity for the divisor generating function},
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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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