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Srinivasa Ramanujan (1887-1920) and the theory of partitions of numbers and statistical mechanics. A centennial tribute - MaRDI portal

Srinivasa Ramanujan (1887-1920) and the theory of partitions of numbers and statistical mechanics. A centennial tribute (Q579291)

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scientific article; zbMATH DE number 4014794
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English
Srinivasa Ramanujan (1887-1920) and the theory of partitions of numbers and statistical mechanics. A centennial tribute
scientific article; zbMATH DE number 4014794

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    Srinivasa Ramanujan (1887-1920) and the theory of partitions of numbers and statistical mechanics. A centennial tribute (English)
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    1987
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    The author gives a biography of Ramanujan and describes some of his work on the partition of numbers, especially congruence properties and the Rogers-Ramanujan identities. Some of the classical work on partitions has applications to statistical mechanics and some of these are described, with references to later workers (22 references).
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    congruence identities
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    asymptotic formula
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    restricted and unrestricted partitions
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    Bose-Einstein statistics
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    Fermi-Dirac statistics
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    Maxwell- Boltzmann statistics
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    Gentile statistics. partition of numbers
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    Rogers- Ramanujan identities
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