Linear Combinations of Logarithms of $L$-functions over Function Fields at Microscopic Shifts and Beyond

Fatma Çiçek, Pranendu Darbar, Allysa Lumley

In the function field setting with a fixed characteristic, it was proven by the second and third authors that the values $\log \left|L\right(\frac{1}{2},{\chi }_D\left)\right|$ as $D$ varies over…