TY - JOUR
T1 - On the quintuple product identity
AU - Farkas, Hershel M.
AU - Kra, Irwin
PY - 1999
Y1 - 1999
N2 - In this note we present a new proof of the quintuple product identity which is based on our study of kth order theta functions with characteristics and the identities they satisfy. In this context the quintuple product identity is another example of an identity which when phrased in terms of theta functions, rather than infinite products and sums, has a simpler form and is much less mysterious.
AB - In this note we present a new proof of the quintuple product identity which is based on our study of kth order theta functions with characteristics and the identities they satisfy. In this context the quintuple product identity is another example of an identity which when phrased in terms of theta functions, rather than infinite products and sums, has a simpler form and is much less mysterious.
KW - Euler pentagonal number theorem
KW - Jacobi triple product
KW - K order theta functions with characteristics
KW - Partitions of integers
KW - q-series
UR - http://www.scopus.com/inward/record.url?scp=22444456058&partnerID=8YFLogxK
U2 - 10.1090/s0002-9939-99-04791-7
DO - 10.1090/s0002-9939-99-04791-7
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AN - SCOPUS:22444456058
SN - 0002-9939
VL - 127
SP - 771
EP - 778
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 3
ER -