Alexei Entin

collaborators

2 papers

math.PR2024

Moments of traces of random symplectic matrices and hyperelliptic $L$ -functions

Alexei Entin, Noam Pirani

We study matrix integrals of the form $\int_{USp (2n)} j = 1 \prod k tr (U^{j})^{a_{j}} d U,$ where $a_{1}, \dots, a_{r}$ are natural numbers and integration is with…

math.NT2024

Automorphism Groups of Finite Extensions of Fields and the Minimal Ramification Problem

Alexei Entin

We study the following question: given a global field $F$ and finite group $G$ , what is the minimal $r$ such that there exists a finite extension $K / F$ with $\mathrm{Aut}(K/F)\cong…

Moments of traces of random symplectic matrices and hyperelliptic L-functions

Automorphism Groups of Finite Extensions of Fields and the Minimal Ramification Problem

Moments of traces of random symplectic matrices and hyperelliptic $L$ -functions