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arXiv · 2110.09614

The sixth moment of automorphic $L$-functions

Joshua Stucky
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Abstract

We investigate the sixth moment of the family of $L$-functions associated to holomorphic modular forms on $GL_2$ with respect to a congruence subgroup $\Gamma_1(q)$. We improve on previous work and obtain an unconditional upper bound of the correct order of magnitude.

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Joshua Stucky. 2021-10-18. The sixth moment of automorphic $L$-functions. https://arxiv.org/abs/2110.09614

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