标题： 与亏格一全纯微分相关的WDVV解 显示英文标题

标题： WDVV solutions associated with the genus one holomorphic differential

摘要： 考虑亏格一的Hurwitz空间$\mathcal{H}_1(n_0,\dots,n_m)$，它是具有固定次数且有$m+1$个分别阶数为$n_0+1,\dots,n_m+1$的预设极点的分支覆盖。 基于最近在\cite{Rejeb23}中证明的一个公式，我们推导出与由归一化全纯微分诱导的亏格一Dubrovin-Hurwitz-Frobenius流形结构相关的WDVV方程的显式解。 所得解用Bell多项式、Eisenstein级数以及Weierstrass函数来表示。 显示英文摘要

摘要： Consider the genus one Hurwitz space $\mathcal{H}_1(n_0,\dots,n_m)$ of ramified covering of fixed degree with $m+1$ prescribed poles of order $n_0+1,\dots,n_m+1$, respectively. Based on a recent formula proved in \cite{Rejeb23}, we derive an explicit solution to the WDVV equations associated with the genus one Dubrovin-Hurwitz-Frobenius manifold structure induced by the normalized holomorphic differential. The obtained solution is written in terms of Bell polynomials, Eisenstein series as well as the Weierstrass functions.