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arXiv · 1410.5106

Applications of the Kuznetsov formula on GL(3): the level aspect

Valentin Blomer·Jack Buttcane·Péter Maga
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Abstract

We develop an explicit Kuznetsov formula on GL(3) for congruence subgroups. Applications include a Lindelof on average type bound for the sixth moment of GL(3) L-functions in the level aspect, an automorphic large sieve inequality, density results for exceptional eigenvalues and density results for Maass forms violating the Ramanujan conjecture at finite places.

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Valentin Blomer, Jack Buttcane, Péter Maga. 2017-07-11. Applications of the Kuznetsov formula on GL(3): the level aspect. https://arxiv.org/abs/1410.5106

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