A1 Refereed original research article in a scientific journal
On sums involving Fourier coefficients of Maass forms for SL(3,Z)
Authors: Jääsaari J, Vesalainen EV
Publisher: Wydawnictwo Naukowe Uniwersytetu im. Adama Mickiewicza
Publication year: 2017
Journal: Functiones Et Approximatio: Commentarii Mathematici
Journal name in source: FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI
Journal acronym: FUNCT APPROX COMMENT
Volume: 57
Issue: 2
First page : 255
Last page: 275
Number of pages: 21
ISSN: 0208-6573
DOI: https://doi.org/10.7169/facm/1632
Abstract
We derive a truncated Voronoi identity for rationally additively twisted sums of Fourier coefficients of Maass forms for SL(3, Z), and as an application obtain a pointwise estimate and a second moment estimate for the sums in question.
We derive a truncated Voronoi identity for rationally additively twisted sums of Fourier coefficients of Maass forms for SL(3, Z), and as an application obtain a pointwise estimate and a second moment estimate for the sums in question.