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Zagier provided eleven conjectural rank two examples for Nahm's problem. All of them have been proved in the literature except for the fifth example, and there is no $q$-series proof for the tenth example. We prove that the fifth and the tenth exampl
Externí odkaz:
http://arxiv.org/abs/2303.01333
Autor:
Cao, Zhineng, Wang, Liuquan
Publikováno v:
J. Math. Anal. Appl 522 (2023) Paper No.126960
We use an integral method to establish a number of Rogers-Ramanujan type identities involving double and triple sums. The key step for proving such identities is to find some infinite products whose integrals over suitable contours are still infinite
Externí odkaz:
http://arxiv.org/abs/2205.12786
Publikováno v:
In Journal of Combinatorial Theory, Series A February 2024 202
Autor:
Cao, Zhineng, Wang, Liuquan
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 June 2023 522(2)