On sums involving Fourier coefficients of Maass forms for SL(3,Z)
: Jääsaari J, Vesalainen EV
Publisher: Wydawnictwo Naukowe Uniwersytetu im. Adama Mickiewicza
: 2017
: Functiones Et Approximatio: Commentarii Mathematici
: FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI
: FUNCT APPROX COMMENT
: 57
: 2
: 255
: 275
: 21
: 0208-6573
DOI: https://doi.org/10.7169/facm/1632
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.