For the eta quotients (q^i;q^i)_∞/(q^p;q^p)_∞ with p prime >3 and i>1, the signs of the coefficients are shown to be periodic modulo p after an explicit threshold, proving and generalizing conjectures of Bringmann et al.
On a Conjecture of Peter Borwein , Journal of Symbolic Computation, Volume 20, Issues 5–6, 1995
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Sign-patterns of Certain Infinite Products
For the eta quotients (q^i;q^i)_∞/(q^p;q^p)_∞ with p prime >3 and i>1, the signs of the coefficients are shown to be periodic modulo p after an explicit threshold, proving and generalizing conjectures of Bringmann et al.