Further developments in MacMahon's partition analysis (abstract only)
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- Further developments in MacMahon's partition analysis (abstract only)
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MacMahon's partition analysis XIV: Partitions with n copies of n
AbstractWe apply the methods of partition analysis to partitions with n copies of n. This allows us to obtain multivariable generating functions related to classical Rogers-Ramanujan type identities. Also, partitions with n copies of n are extended to ...
MacMahon's partition analysis XV: Parity
AbstractWe apply the methods of partition analysis to partitions in which the parity of parts plays a role. We begin with an in-depth treatment of the generating function for the partitions from the first Göllnitz-Gordon identity. We then deduce a ...
MacMahon's Partition Analysis
In his famous book ''Combinatory Analysis'' MacMahon introduced Partition Analysis as a computational method for solving combinatorial problems in connection with systems of linear diophantine inequalities and equations. However, MacMahon failed in his ...
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Association for Computing Machinery
New York, NY, United States
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