Polynomial identities of the Rogers--Ramanujan type

Details Polynomial identities of the Rogers--Ramanujan type Polynomial identities of the Rogers--Ramanujan type

1994-07-29

arxiv.org/abs/hep-th/9407191v4

Physics

High Energy Physics

High Energy Physics - Theory

27 pages

Scientific paper

10.1142/S0217751X9500111X

Presented are polynomial identities which imply generalizations of Euler and
Rogers--Ramanujan identities. Both sides of the identities can be interpreted
as generating functions of certain restricted partitions. We prove the
identities by establishing a graphical one-to-one correspondence between those
two kinds of restricted partitions.

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