Real zeros of holomorphic Hecke cusp forms

Ghosh, Amit, and Sarnak, Peter. "Real zeros of holomorphic Hecke cusp forms." Journal of the European Mathematical Society 014.2 (2012): 465-487. <http://eudml.org/doc/277556>.

@article{Ghosh2012,
abstract = {This note is concerned with the zeros of holomorphic Hecke cusp forms of large weight on the modular surface. The zeros of such forms are symmetric about three geodesic segments and we call those zeros that lie on these segments, real. Our main results give estimates for the number of real zeros as the weight goes to infinity.},
author = {Ghosh, Amit, Sarnak, Peter},
journal = {Journal of the European Mathematical Society},
keywords = {zeros; holomorphic Hecke cusp forms; sieves; Holomorphic Hecke cusp forms; real zeros},
language = {eng},
number = {2},
pages = {465-487},
publisher = {European Mathematical Society Publishing House},
title = {Real zeros of holomorphic Hecke cusp forms},
url = {http://eudml.org/doc/277556},
volume = {014},
year = {2012},
}

TY - JOUR
AU - Ghosh, Amit
AU - Sarnak, Peter
TI - Real zeros of holomorphic Hecke cusp forms
JO - Journal of the European Mathematical Society
PY - 2012
PB - European Mathematical Society Publishing House
VL - 014
IS - 2
SP - 465
EP - 487
AB - This note is concerned with the zeros of holomorphic Hecke cusp forms of large weight on the modular surface. The zeros of such forms are symmetric about three geodesic segments and we call those zeros that lie on these segments, real. Our main results give estimates for the number of real zeros as the weight goes to infinity.
LA - eng
KW - zeros; holomorphic Hecke cusp forms; sieves; Holomorphic Hecke cusp forms; real zeros
UR - http://eudml.org/doc/277556
ER -