2 problems

K. Saito's conjecture. The Fourier coefficients of $S_N(\tau)$ are nonnegative. This conjecture concerns the positivity of coefficients of eta products associated with elliptic roo…

Let $p=(x-\rho)(x-\bar\rho)$ be a quadratic polynomial with nonreal roots, written as $\rho=r(\cos\varphi+\mathbf{i}\sin\varphi)$ with $r>0$ and $\varphi\in(0,\frac{\pi}{2})$, and…