4 problems

Let $A\in\Gamma_n$, where $\Gamma_n$ denotes the class of accretive $n\times n$ matrices, and let $t$ satisfy $0<t<1$. Fractional-power numerical-radius conjecture. … This conjectu…

Let $k\in\mathbb{N}$ and let $c$ be a positive real number. Write $\mathbb{P}$ for the set of primes. Frantzikinakis's conjecture. For infinitely many pairs…

Fractional-polynomial prime-pair conjecture. There exists $B=B(f,A)$ such that

Let $\Omega$ be the spatial domain, let $\Gamma$ be its boundary, and let $A_\alpha$ denote the operators associated with the strongly damped wave equation for $\alpha\in[0,1]$. Fo…