3 problems

Let $E$ be an elliptic curve, viewed as a genus $1$ curve, and let the Euler factors of $E$ be the local factors in its $L$-function. The groups $\operatorname{SU}(2)$,…

For a positive integer $p$ and an integer $a$ with $1\leq a<p$, define the normalized Kloosterman sum … where ${\rm e}(z)={\rm e}^{2\pi i z}$ and…

Let $C$ be an absolutely irreducible nonsingular projective curve of genus $g$ over $\mathbb{Q}$, and let $\operatorname{Jac} C$ be its Jacobian. Assume that … For a curve with goo…