Sign changes of coefficients of powers of the infinite Borwein product

1972 Andrews, 1981, Ramanujan's “lost” notebook III. The Rogers-Ramanujan continued fraction, Adv. Math., 41, 186, 10.1016/0001-8708(81)90015-3 Andrews, 1995, On a conjecture of Peter Borwein, J. Symb. Comput., 20, 487, 10.1006/jsco.1995.1061 Berndt, 2006 Borwein, 1991, A cubic counterpart of Jacobi's identity and the AGM, Trans. Am. Math. Soc., 323, 691 Borwein, 1994, Some cubic modular identities of Ramanujan, Trans. Am. Math. Soc., 343, 35, 10.1090/S0002-9947-1994-1243610-6 Chern, 2019, Asymptotics for the Fourier coefficients of eta-quotients, J. Number Theory, 199, 168, 10.1016/j.jnt.2018.11.008 Chern, 2019, Some inequalities for Garvan's bicrank function of 2-colored partitions, Acta Arith., 190, 171, 10.4064/aa180507-7-11 Hu, 2018, Sign-change of the Fourier coefficients of a hauptmodul for Γ0(2), Int. J. Number Theory, 14, 2269, 10.1142/S1793042118501373 B. Hu, D. Ye, Sign changes of Fourier coefficients of Hauptmoduls for genus zero groups, in preparation. Matsusaka, 2017, Arithmetic formulas for the Fourier coefficients of Hauptmoduln of level 2, 3, and 5, Proc. Am. Math. Soc., 145, 1383, 10.1090/proc/13333 Ohta, 2009, Formulas for the Fourier coefficients of some genus zero modular functions, Kyushu J. Math., 63, 1, 10.2206/kyushujm.63.1 Schlosser Schlosser Wang, 2020, Arithmetic properties of odd ranks and k-marked odd Durfee symbols, Adv. Appl. Math., 121, 10.1016/j.aam.2020.102098