Srinivasa Ramanujan (1887-1920) and the theory of partitions of numbers and statistical mechanics. A centennial tribute
type: Item
instance of: scholarly article
title: Srinivasa Ramanujan (1887-1920) and the theory of partitions of numbers and statistical mechanics. A centennial tribute
zbMATH Open document ID: 0625.10001
DOI: 10.1155/S0161171287000772
author: Lokenath Debnath
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46206
review text: 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).
Mathematics Subject Classification ID: 11-03
Mathematics Subject Classification ID: 01A70
Mathematics Subject Classification ID: 11P81
Mathematics Subject Classification ID: 82B05
Mathematics Subject Classification ID: 82B10
zbMATH DE Number: 4014794
zbMATH Keywords: congruence identities
zbMATH Keywords: asymptotic formula
zbMATH Keywords: restricted and unrestricted partitions
zbMATH Keywords: Bose-Einstein statistics
zbMATH Keywords: Fermi-Dirac statistics
zbMATH Keywords: Maxwell- Boltzmann statistics
zbMATH Keywords: Gentile statistics. partition of numbers
zbMATH Keywords: Rogers- Ramanujan identities
reviewed by: H. N. V. Temperley
MaRDI profile type: Publication
OpenAlex ID: W2061219421
description: scientific article; zbMATH DE number 4014794