Geodesic
Unification of the quintuple and septuple product identities
The electronic journal of combinatorics, Tome 14 (2007)
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By combining the functional equation method with Jacobi's triple product identity, we establish a general equation with five free parameters on the modified Jacobi theta function, which can be considered as the common generalization of the quintuple, sextuple and septuple product identities. Several known theta function formulae and new identities are consequently proved.
DOI : 10.37236/1008
Classification : 05A19, 05A30, 33D15, 11B65
Mots-clés : Jacobi's triple product identity, Jacobi theta function 
@article{10_37236_1008,
     author = {Wenchang Chu and Qinglun Yan},
     title = {Unification of the quintuple and septuple product identities},
     journal = {The electronic journal of combinatorics},
     year = {2007},
     volume = {14},
     doi = {10.37236/1008},
     zbl = {1112.05011},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1008/}
}
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Wenchang Chu; Qinglun Yan. Unification of the quintuple and septuple product identities. The electronic journal of combinatorics, Tome 14 (2007). doi: 10.37236/1008

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