POLYNOMIAL-IDENTITIES OF THE ROGERS-RAMANUJAN TYPE

Authors
FODA O QUANO YH
Citation
O. Foda et Yh. Quano, POLYNOMIAL-IDENTITIES OF THE ROGERS-RAMANUJAN TYPE, International journal of modern physics A, 10(16), 1995, pp. 2291-2315
Citations number
30
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
Journal title
International journal of modern physics A → ACNP
ISSN journal
0217751X
Volume
10
Issue
16
Year of publication
1995
Pages
2291 - 2315
Database
ISI
SICI code
0217-751X(1995)10:16<2291:POTRT>2.0.ZU;2-#
Abstract
Presented are polynomial identities which imply generalizations of Eul er and Rogers-Ramanujan identities. Both sides of the identities can b e interpreted as generating functions of certain restricted partitions . We prove the identities by establishing a graphical one-to-one corre spondence between those two kinds of restricted partitions.