5 problems

Let $C_{s,d}$ be the limiting normalized minimal Riesz $s$-energy constant, and for a lattice $\Lambda$ let … be its Epstein zeta function. For the hexagonal lattice…

Let $\alpha\in\mathbb{N}$, let $\zeta_Q(s)$ be the Epstein zeta function associated with a real-valued positive definite $\alpha\times\alpha$ matrix $Q$, and let…

Random-model asymptotic conjecture. For $J>1$, there exists $\eta>0$ such that

Glasser–Zucker conjecture. The function $S(A,B,C;t)$ reduces to Dirichlet $L$-values if and only if $An^2+Bnm+Cm^2$ belongs to a class of quadratic forms with one class per genus.

Let $d$ be the dimension of the torus compactification, let $k=0$, and let the modular form in the one-loop integral be $\Phi=1$. The Narain lattice has automorphism group…