Franklin's argument proves an identity of Zagier.
Chapman, Robin (2000)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Srinivasa Ramanujan (1887-1920) and the theory of partitions of numbers and statistical mechanics. A centennial tribute.”
Franklin's argument proves an identity of Zagier.
On new partition of numbers
Mahadeb Dutta (1956)
Rendiconti del Seminario Matematico della Università di Padova
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Extending a recent result of Santos on partitions into odd parts.
Sellers, James A. (2003)
Integers
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Generating function for -restricted jagged partitions.
Fortin, J.-F., Jacob, P., Mathieu, P. (2005)
The Electronic Journal of Combinatorics [electronic only]
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Hybrid proofs of the -binomial theorem and other identities.
Eichhorn, Dennis, McLaughlin, James, Sills, Andrew V. (2011)
The Electronic Journal of Combinatorics [electronic only]
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-color partition theoretic interpretations of some mock theta functions.
Agarwal, A.K. (2004)
The Electronic Journal of Combinatorics [electronic only]
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Product partitions and recursion formulae.
Subbarao, M.V. (2004)
International Journal of Mathematics and Mathematical Sciences
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Partitions excluding specific polygonal numbers as parts.
Sellers, James A. (2004)
Journal of Integer Sequences [electronic only]
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A combinatorial proof of a partition identity of Andrews and Stanley.
Sills, Andrew V. (2004)
International Journal of Mathematics and Mathematical Sciences
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On a conjecture of Andrews.
Padmavathamma, Sudha, T.G. (1993)
International Journal of Mathematics and Mathematical Sciences
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Combinatorial interpretations for identities using chromatic partitions
Mateus Alegri, Wagner Ferreira Santos, Samuel Brito Silva (2021)
Czechoslovak Mathematical Journal
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We provide combinatorial interpretations for three new classes of partitions, the so-called chromatic partitions. Using only combinatorial arguments, we show that these partition identities resemble well-know ordinary partition identities.
A combinatorial proof of Andrews' smallest parts partition function.
Ji, Kathy Qing (2008)
The Electronic Journal of Combinatorics [electronic only]
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Euler’s Partition Theorem
Karol Pąk (2015)
Formalized Mathematics
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In this article we prove the Euler’s Partition Theorem which states that the number of integer partitions with odd parts equals the number of partitions with distinct parts. The formalization follows H.S. Wilf’s lecture notes [28] (see also [1]). Euler’s Partition Theorem is listed as item #45 from the “Formalizing 100 Theorems” list maintained by Freek Wiedijk at http://www.cs.ru.nl/F.Wiedijk/100/ [27].