Let p be an odd prime number. Let K be the p-th cyclotomic field. We give general formulae for the root numbers of the Jacobian varieties of the Fermat curves $X^p+Y^p=\delta$ where δ is an integer. As an application of these general formulae, we derive the equidistribution of the root numbers for the families of Jacobian varieties of the Fermat curves.

中文翻译：

---

费马曲线的雅可比变量的根数

令p为奇数质数。令K为第p个环原子场。我们给出了费马曲线的雅可比变量的根数的一般公式$X^p+{ÿ}^p=\delta$其中δ是整数。作为这些通式的应用，我们得出费马曲线的雅可比变体族的根数的均等分布。