A motivated proof of the Gollnitz-Gordon-Andrews identities

作者:Coulson, Bud; Kanade, Shashank*; Lepowsky, James; McRae, Robert; Qi, Fei; Russell, Matthew C.; Sadowski, Christopher
来源:Ramanujan Journal, 2017, 42(1): 97-129.
DOI:10.1007/s11139-015-9722-8

摘要

We present what we call a "motivated proof" of the Gollnitz-Gordon-Andrews identities. A similar motivated proof of the Rogers-Ramanujan identities was previously given by G. E. Andrews and R. J. Baxter, and was subsequently generalized to Gordon's identities by J. Lepowsky and M. Zhu. We anticipate that the present proof of the Gollnitz-Gordon-Andrews identities will illuminate certain twisted vertex-algebraic constructions.