4 problems

Let $F$ be the function under consideration, with zeros $a_k$ indexed by $k\geq 0$, let $L$ be the derivative order, let $m$ be a positive integer, and let $\omega_m$ denote an $m$…

Let $a$ be a real number with $0<a<1$, and let $\zeta(s,a)$ denote the Hurwitz zeta function. For $T>0$, consider the segment from $1/2$ to $1/2+iT$ in the complex plane, and count…

Coffey's conjectural relation. In some cases, not only the Gamma function but also the second-order derivative of the Hurwitz zeta function could be related, in some way, to the fi…

Closed-form conjecture. The first generalized Stieltjes constant at rational argument may always be expressed by means of Euler's constant, the first Stieltjes constant, the Gamma…