Analytic twists of modular forms
Volume 185 / 2018
Acta Arithmetica 185 (2018), 157-195
MSC: Primary 11L05; Secondary 11L07.
DOI: 10.4064/aa170303-19-1
Published online: 27 July 2018
Abstract
We investigate non-correlation of Fourier coefficients of Maass forms against a class of real oscillatory functions, in analogy to known results for Frobenius trace functions. We also establish an equidistribution result for twisted horocycles as a consequence of our non-correlation result.
