J.J. Sylvester: Ramanujan’s Illustrious Predecessor

Krishnaswami Alladi ()
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Krishnaswami Alladi: University of Florida, Department of Mathematics

Chapter Chapter 6 in Ramanujan's Place in the World of Mathematics, 2021, pp 31-36 from Springer

Abstract: Abstract Until the emergence of Ramanujan in the early twentieth century, the two great figures in the theory of partitions were Leonhard Euler, the founder of the subject, and J.J. Sylvester, who in the latter part of the nineteenth century, systematically improved Euler’s results on partitions by a combinatorial approach. After describing the unusual life of Sylvester first at Cambridge University, England and later at Johns Hopkins University, USA, the article discusses some fundamental results of Sylvester and how some of these on partitions relate to Ramanujan’s contributions.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-15-6241-9_6

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DOI: 10.1007/978-981-15-6241-9_6

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