| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6415396 | Journal of Number Theory | 2015 | 23 Pages |
Abstract
We obtain resonances for short exponential sums weighted by Fourier coefficients of Maass forms for SL(n,Z). This involves deriving asymptotics for the integrals appearing in the GL(n) Voronoi summation formula. As an application, we also prove an Ω-result for short sums of Fourier coefficients.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Anne-Maria Ernvall-Hytönen, Jesse Jääsaari, Esa V. Vesalainen,