3 problems

Let $f\in\mathbb{Z}[X]$ be a polynomial, respectively a monic polynomial, of degree $n\geq 4$, respectively $n\geq 3$, with discriminant $D\ne 0$. Here $H(g)$ denotes the height of…

For $k\geq1$, define … and let $\mathcal{S}_k$ be the corresponding computable subsets, with … … Second- and third-derivative completeness conjecture. One has … The paper proves fi…

The Bernoulli polynomials $\mathbf{B}_n(x)$ are defined by … and let … Finiteness and completeness conjecture. The set $\overline{\mathcal{S}}$ is finite and … This conjecture asse…