4 problems

Let $m,i\geq 1$. In the case $f(Y)=Y$, write, for $j\in[1,q^i]$, the base-$q$ expansion … where $d_k\in[0,q-1]$. The coefficients $a_{i,j}$ are those of the polynomial notation int…

Let $q$ be an odd prime, and let $R_q(y)$ be the resultant polynomial defined in the paper. A polynomial in $\mathbb Z[y]$ is Eisenstein with respect to $q$ when all nonleading coe…

Oura's conjecture. The following analogous properties hold for $Th(\widetilde{\varphi_\ell^{G_{\rm{II}}}})$: (1) all zeros lie on a segment of the circle…

Oura's conjecture. The analogous properties hold for the transforms of the normalized Eisenstein polynomials, namely: