On Jacobi Sums in $\mathbb Q(\zeta_p)$

Bruno Angles (1) , Filippo Nuccio (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

We study the p-adic behavior of Jacobi Sums for $\mathbb Q(\zeta_p)$ and link this study to the p-Sylow subgroup of the ideal class group of $\mathbb Q(\zeta_pà^+$

Keywords: Jacobi Sums; Vandiver's Conjecture

Domains: Number Theory [math.NT]

Bruno Angles, Filippo Nuccio. On Jacobi Sums in $\mathbb Q(\zeta_p)$. 2008. ⟨hal-00252031⟩