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 $\eta_i$ be weight-two newforms, and let $\check r_i,\check t_i\in\mathbb{N}$. Suppose … where, for fixed $i$, the sequence $a_{i,n}$ is increasing, consists of positive intege…