We answer a question of Friedlander, Iwaniec, Mazur, and Rubin on the joint distribution of spin symbols. As an application we give a negative answer to a conjecture of Cohn and Lagarias on the existence of governing fields for the 16-rank of class groups under the assumption of a short character sum conjecture.
"Joint distribution of spins." Duke Math. J. 170 (8) 1723 - 1755, 1 June 2021. https://doi.org/10.1215/00127094-2020-0068