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Exponents for the equidistribution of shears and applications
Journal of Number Theory ( IF 0.6 ) Pub Date : 2020-03-01 , DOI: 10.1016/j.jnt.2019.08.024
Dubi Kelmer , Alex Kontorovich

In previous work, 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.

中文翻译:

剪力均匀分布的指数和应用

在之前的工作中,作者引入了“软”方法来证明在双曲线曲面中“剪切”的有效(即具有节能误差)等分布。在本文中,我们研究了同样的问题,但现在允许充分利用自守形式的谱理论来产生显式指数和参数的一致性。我们给出了计算二次形式的平方值的应用。
更新日期:2020-03-01
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