D. Kyselov

Distinctness and Algebraic Degrees of Inverted Kloosterman Sums

We study the distinctness and algebraic degrees of inverted Kloosterman sums over finite extensions of $\mathbb{F}_p$. For each $d\geq 2$, we prove that the $(d-1)$-dimensional sums over $\mathbb{F}_{p^2}$ are equal precisely when their parameters are Frobenius conjugate, provided that $p\equiv 1\pmod d$, $p>2d+1$, and...