
Open access
Date
2020Type
- Journal Article
Abstract
We prove that sums of length about q3/2 of Hecke eigenvalues of automorphic forms on SL3(Z) do
not correlate with q-periodic functions with bounded Fourier transform. This generalizes the earlier
results of Munshi and Holowinsky–Nelson, corresponding to multiplicative Dirichlet characters,
and applies, in particular, to trace functions of small conductor modulo primes. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000411466Publication status
publishedExternal links
Journal / series
Forum of Mathematics, SigmaVolume
Pages / Article No.
Publisher
Cambridge University PressOrganisational unit
03796 - Kowalski, Emmanuel / Kowalski, Emmanuel
Funding
175755 - Geometric and Analytic Number Theory (SNF)
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