Exponents for the equidistribution of shears and applications

被引：1
作者：
Kelmer, Dubi [1 ]
Kontorovich, Alex [2 ,3 ]
机构：
[1] Boston Coll, Boston, MA USA
[2] Rutgers State Univ, New Brunswick, NJ 08901 USA
[3] Inst Adv Study, Olden Lane, Princeton, NJ 08540 USA
来源：
JOURNAL OF NUMBER THEORY | 2020年 / 208卷
关键词：
Equidistribution; Quadratic forms; Shears; COEFFICIENTS; POINTS; SQUARE; FORMS;
D O I：
10.1016/j.jnt.2019.08.024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In [KK18], the authors introduced "soft" methods to prove the effective (i.e. with power savings error) equidistribution of "shears" in cusped hyperbolic surfaces. In this paper, we study the same problem but now allow full use of the spectral theory of automorphic forms to produce explicit exponents, and uniformity in parameters. We give applications to counting square values of quadratic forms. (C) 2019 Elsevier Inc. All rights reserved.
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收藏
页码：1 / 46
页数：46
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