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arxiv: 1201.4216 · v1 · pith:EISYOQA6new · submitted 2012-01-20 · 🧮 math.CO

A combinatorial proof of an identity for the divisor generating function

classification 🧮 math.CO
keywords combinatorialdivisorfunctionidentityproofby-productcombinatoricsgeneralizations
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We translate Uchimura's identity for the divisor function and whose generalizations into combinatorics of partitions, and give a combinatorial proof of them. As a by-product of their proofs, we obtain some combinatorial results.

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