An automorphic generalization of the Hermite–Minkowski theorem

Autor: Gaëtan Chenevier

Publikováno v: Duke Math. J. 169, no. 6 (2020), 1039-1075
Duke Mathematical Journal
Duke Mathematical Journal, Duke University Press, 2020, 169 (6), pp.1039--1075

We show that for any integer $N$, there are only finitely many cuspidal algebraic automorphic representations of ${\rm GL}_n$ over $\mathbb{Q}$, with $n$ varying, whose conductor is $N$ and whose weights are in the interval $\{0,1,...,23\}$. More gen

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https://projecteuclid.org/euclid.dmj/1584151213