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J.J. Sylvester: Ramanujan’s Illustrious Predecessor

In: Ramanujan's Place in the World of Mathematics

Author

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  • Krishnaswami Alladi

    (University of Florida, Department of Mathematics)

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.

Suggested Citation

  • Krishnaswami Alladi, 2021. "J.J. Sylvester: Ramanujan’s Illustrious Predecessor," Springer Books, in: Ramanujan's Place in the World of Mathematics, edition 2, chapter 0, pages 31-36, Springer.
    • Handle: RePEc:spr:sprchp:978-981-15-6241-9_6
    DOI: 10.1007/978-981-15-6241-9_6
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