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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
Cambridge University Press
2020-01-01
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Series: | Forum of Mathematics, Sigma |
Subjects: | |
Online Access: | https://www.cambridge.org/core/product/identifier/S2050509420000079/type/journal_article |