New Partition Theoretic Interpretations of Rogers-Ramanujan Identities
Author(s) -
A. K. Agarwal,
Megha Goyal
Publication year - 2012
Publication title -
international journal of combinatorics
Language(s) - English
Resource type - Journals
eISSN - 1687-9171
pISSN - 1687-9163
DOI - 10.1155/2012/409505
Subject(s) - ramanujan's sum , mathematics , partition (number theory) , partition function (quantum field theory) , ramanujan theta function , combinatorics , generating function , pure mathematics , physics , quantum mechanics
The generating function for a restricted partition function is derived. This in conjunction with two identities of Rogers provides new partition theoretic interpretations of Rogers-Ramanujan identities.
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