HARMONIC ANALYSIS ON THE POSITIVE RATIONALS II: MULTIPLICATIVE FUNCTIONS AND MAASS FORMS

J. Math. Sci. Univ. Tokyo
Vol. 23 (2016), No. 3, Page 615–658.

ELLIOTT, PETER D. T. A. ; KISH, JONATHAN
HARMONIC ANALYSIS ON THE POSITIVE RATIONALS II: MULTIPLICATIVE FUNCTIONS AND MAASS FORMS

[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]


Abstract:
Estimates are given, via harmonic analysis on the positive rationals, for the value distribution of Fourier coefficients of automorphic cusp forms.

Keywords: Multiplicative functions, Mean value, Maass forms, Uniform distribution.

Mathematics Subject Classification (2010): Primary: 11N37 Secondary: 11F03, 11F30, 11K65, 11L99, 11M99, 11N64.
Mathematical Reviews Number: MR3526582

Received: 2014-12-09