MacMahon's dream

George E. Andrews, Peter Paule

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

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 languageEnglish (US)
Title of host publicationPARTITIONS, Q-SERIES, AND MODULAR FORMS
Pages1-12
Number of pages12
DOIs
StatePublished - Apr 12 2012

Publication series

NameDevelopments in Mathematics
Volume23
ISSN (Print)1389-2177

Fingerprint

Plane Partitions
Generating Function
Retrieval
Partition
Alternatives

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Andrews, G. E., & Paule, P. (2012). MacMahon's dream. In PARTITIONS, Q-SERIES, AND MODULAR FORMS (pp. 1-12). (Developments in Mathematics; Vol. 23). https://doi.org/10.1007/978-1-4614-0028-8_1
Andrews, George E. ; Paule, Peter. / MacMahon's dream. PARTITIONS, Q-SERIES, AND MODULAR FORMS. 2012. pp. 1-12 (Developments in Mathematics).
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Andrews, GE & Paule, P 2012, MacMahon's dream. in PARTITIONS, Q-SERIES, AND MODULAR FORMS. Developments in Mathematics, vol. 23, pp. 1-12. https://doi.org/10.1007/978-1-4614-0028-8_1

MacMahon's dream. / Andrews, George E.; Paule, Peter.

PARTITIONS, Q-SERIES, AND MODULAR FORMS. 2012. p. 1-12 (Developments in Mathematics; Vol. 23).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Andrews GE, Paule P. MacMahon's dream. In PARTITIONS, Q-SERIES, AND MODULAR FORMS. 2012. p. 1-12. (Developments in Mathematics). https://doi.org/10.1007/978-1-4614-0028-8_1