Hodge numbers of motives attached to Kloosterman and Airy moments

Yichen Qin

Fresán, Sabbah, and Yu constructed motives ${\mathrm{M}}_{n+1}^k(\mathrm{Kl})$ over $\mathbb{Q}$ encoding symmetric power moments of Kloosterman sums in $n$ variables. When $n=1$, th…