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PERIODIC TWISTS OF $\operatorname{GL}_{3}$-AUTOMORPHIC FORMS

We prove that sums of length about $q^{3/2}$ of Hecke eigenvalues of automorphic forms on $\operatorname{SL}_{3}(\mathbf{Z})$ do not correlate with $q$-periodic functions with bounded Fourier transform. This generalizes the earlier results of Munshi and Holowinsky–Nelson, corresponding to multiplica...

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Principais autores: EMMANUEL KOWALSKI, YONGXIAO LIN, PHILIPPE MICHEL, WILL SAWIN
Formato: Artigo
Idioma:Inglês
Publicado: Cambridge University Press 2020-01-01
Series:Forum of Mathematics, Sigma
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Acceso en liña:https://www.cambridge.org/core/product/identifier/S2050509420000079/type/journal_article
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