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arxiv: 1809.09597 · v1 · pith:C66SFXXAnew · submitted 2018-09-25 · 🧮 math.NT

Joint distribution of spins

classification 🧮 math.NT
keywords answerconjecturedistributionjointapplicationassumptioncharacterclass
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We answer a question of Iwaniec, Friedlander, 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.

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