Analytic twists of modular forms
Number Theory
2016-08-30 v1
Abstract
We investigate non-correlation of Fourier coefficients of Maass forms against a class of real oscillatory functions, in analogy to known results with Frobenius trace functions. We also establish an equidistribution result for twisted horocycles as a consequence of our non-correlation result.
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Cite
@article{arxiv.1608.08044,
title = {Analytic twists of modular forms},
author = {Alexandre Peyrot},
journal= {arXiv preprint arXiv:1608.08044},
year = {2016}
}
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31 pages