A non-split sum of coefficients of modular forms
Number Theory
2019-12-19 v1
Abstract
We shall introduce and study certain truncated sums of Hecke eigenvalues of -automorphic forms along quadratic polynomials. A power saving estimate is established and new applications to moments of critical -values associated to quadratic fields are derived. An application to the asymptotic behavior of the height of Heegner points and singular moduli is discussed in details.
Keywords
Cite
@article{arxiv.0902.2496,
title = {A non-split sum of coefficients of modular forms},
author = {Nicolas Templier},
journal= {arXiv preprint arXiv:0902.2496},
year = {2019}
}