For every coprime r,s with 1<=s<r/2 and every k>=1, the coefficient of q^n in Merca's truncated Jacobi triple product series is shown nonnegative once n is at least an explicit N(r,s,k).
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Proof of Merca's stronger conjecture on truncated Jacobi triple product series
For every coprime r,s with 1<=s<r/2 and every k>=1, the coefficient of q^n in Merca's truncated Jacobi triple product series is shown nonnegative once n is at least an explicit N(r,s,k).