Ramanujan and Partitions

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

Chapter Chapter 18 in Ramanujan's Place in the World of Mathematics, 2021, pp 121-126 from Springer

Abstract: Abstract The theory of partitions, founded by Euler in the mid-eighteenth century, underwent a glorious transformation under the magic touch of Ramanujan in the early twentieth century. The discussion includes the revolutionary work of Ramanujan on partition congruences, the Hardy–Ramanujan asymptotic formula for the partition function, and the Rogers–Ramanujan identities, and story of their discoveries. Also included is a discussion of the current state of research on partitions and the continuing influence of Ramanujan’s ideas in this area.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-15-6241-9_18

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DOI: 10.1007/978-981-15-6241-9_18

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