4 problems

Chandee's conjecture. One has

Let $k,\beta\in\mathbb{N}$ and let $\underline{\theta}=(\theta_1,\dots,\theta_k)\in\mathbb{R}^k$. For the even-sign quadratic twists of an elliptic curve $E/\mathbb{Q}$, let…

Let $q$ tend to infinity through primes, let $Y$ be the shift-height parameter, and let $R$ be a piecewise smooth positively oriented path encircling $0$ and $-s$. Dirichlet shifte…

Let $k\in\mathbb N$, let $Y=Y(T)$, and let $R$ be a piecewise smooth positively oriented path encircling $0$ and $-s$. Shifted moments conjecture. For $T\geq1$, … This holds for…