We shall provide an account of MacMahon's development of a calculational, analytic method designed to produce the generating function for plane partitions. His efforts did not turn out as he had hoped, and he had to spend nearly 20 years finding an alternative treatment. This paper provides an account of our retrieval of MacMahon's original dream of using Partition Analysis to treat plane partitions in general.
|Original language||English (US)|
|Title of host publication||PARTITIONS, Q-SERIES, AND MODULAR FORMS|
|Editors||KRISHNASWAMI ALLADI, FRANK GARVAN|
|Number of pages||12|
|State||Published - Apr 12 2012|
|Name||Developments in Mathematics|
All Science Journal Classification (ASJC) codes